Stephanie and Bryson both grow tomatoes to sell at farmers' markets. Stephanie grew a total of 70 pounds
of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the
profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.
f(x) = 3.50x -110
Bryson plans to sell his tomatoes at a different farmers' market. He grew a total of 90 pounds of tomatoes.
The table below shows the profit, in dollars, he will earn by selling different numbers of pounds of
tomatoes.
Bryson's Tomato Sales
-97.50 -55.00 -12.50 30,00
Profit (dollars)
Pounds of
Tomatoes Sold
10
20
30
40

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Stephanie's profit relationship:

f(x) = 3.50x - 110

Bryson's Tomato Sales, using the pairs of numbers let's find the relationship.

(10, -97.50) and (20, -55.00)

Since it is also linear relationship, we'll find a slope and y-intercept:

m = (-55 - (-97.50))/(20 - 10) = 42.50/10 = 4.25

y-intercept is:

-97.50 = 4.25*10 + b ⇒ b = -97.50 - 42.50 = - 140

So the function is:

g(x) = 4.25x - 140

Comparing the functions:

f(x) = 3.50 - 110g(x) = 4.25 - 140

The slope of g(x) is greater than f(x) but the y-intercept is smaller

It translates as:

Bryson sells tomatoes at greater price: 4.25 vs 3.50 per poundStephanie  needs to sell 110/3.5 = 31.4 pounds of tomatoes before making any profitBryson needs to sell 140/4.25 = 32.9 pounds of tomatoes before making any profit


Related Questions

Can u pls help me this
-3(x-1)+7x=27

Answers

Answer:

X=6

Step-by-step explanation:

All you do is solve for X.

Answer:

[tex] - 3(x - 1) + 7x = 27 \\ - 3x + 3 + 7x = 27 \\ - 3x + 7x = 27 - 3 \\ 4x = 24 \\ x = \frac{24}{4 } \\ x = 6[/tex]

this is the correct answer you can check

If you borrow $900 for 6 years at
an annual interest rate of 7%, how
much will you pay altogether?

Answers

If you borrow $900 for 6 years at an annual interest rate of 7%. You will pay $1350.65

What is an annual interest rate?

"An annual interest rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account."

According to the problem

If you borrow $900 for 6 years at an annual interest rate of 7%

You will pay = [tex]90(1+\frac{r}{100} )^{t}[/tex]

= [tex]900(1+\frac{7}{100} )^{6}[/tex]

= [tex]900(1.07)^{6}[/tex]

= $1350.65

Hence, you will pay $1350.65

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Answer: $1278

Step-by-step explanation:

First, you convert 7% to a decimal.

0.07

Then you multiply.

900*6*0.07

The answer is 378.

Wait we are not done yet. We need to add dollars per year with 378.

900+378=1278

The answer is 1278.

Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure

Answers

Answer: 1,4 2,1 5,1 4,4  

Step-by-step explanation:

hope it helps

Answer:

D

Step-by-step explanation:

if Amy's new summer job at the pool will pay her 9$ per hour. which term describes this type of hourly income?​

Answers

Answer:

wage

Step-by-step explanation:

wage describes that type of hourly income

Answer:

wage

Step-by-step explanation:

its her being paid.

answer plz




ftyttgggff​

Answers

Answer:

The answer for the question provided is 10^4×4^5

Write the equation that describes the line, in slope-intercept form.
The slope = 9,y-intercept = -1

Answers

Answer:

y = 9x -1

Step-by-step explanation:

The formula is y=mx+b

m = slope

b = y-intercept

All ya gotta do is plug in the slope and y-intercept then you have an equation!

Hope that helps and have a great day!

Helpppppppp me plzzzzz
Convert 3.16 repeating to a fraction. Explain your strategy or show steps you used to convert the number.

Answers

What is 3.16161616161616161616 as a fraction?

To write 3.16161616161616161616 as a fraction you have to write 3.16161616161616161616 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

3.16161616161616161616 = 3.16161616161616161616/1 = 31.616161616162/10 = 316.16161616162/100 = 3161.6161616162/1000 = 31616.161616162/10000 = 316161.61616162/100000 = 3161616.1616162/1000000 = 31616161.616162/10000000 = 316161616.16162/100000000 = 3161616161.6162/1000000000 = 31616161616.162/10000000000 = 316161616161.62/100000000000 = 3161616161616.2/1000000000000 = 31616161616162/10000000000000

And finally we have:

3.16161616161616161616 as a fraction equals 31616161616162/10000000000000

Step-by-step explanation:

3.16161616 ... = 313 99 = 3 16 99  

Explanation: It appears that you mean  3.16161616 ... , let  x = 3.16161616 ... , then  100 x = 316.16161616 ...

Subtracting former from latter we get 99 x = 313 and  x = 313 99 = 3 16 99 Hence  3.16161616 ... = 3 16 99

Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000.

Answers

Complete question:

Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?

Answer:

480 pennies

Step-by-step explanation:

Total pennies = 1200

Datwd before 1980 = 25%

Dated 1980 - 2000 = 35%

The rest are Dated after 2000 ;

How many are dated after 2000

Dated before 1980 = 25% ;

25% of 1200

0.25 * 1200 = 300

Dated 1980 - 2000 = 35% ;

0.35 * 1200 = 420

Dated after 2000 ;

1200 - (300 + 420)

1200 - 720

= 480 pennies

Which sentence is a statement of the Multiplicative IdentityProperty? A. The sum of any realnumber and its opposite is zero. B. The product of any realnumber and its reciprocal is one. C. The sum of zero and any other realnumber is the number itself D. The product of one and any other realnumber is the number itself.

Answers

Answer:

D. The product of one and any other real number is the number itself.

Step-by-step explanation:

Multiplicative Identity Property can also be referred to as the identity property.

It states that when a number , a real number is multiplied by 1, the result is that same real number itself.

For example:

2 × 1 = 2

-5 × 1 = -5

Therefore, option D. The product of one and any other real number is the number itself. Is the correct option.

What is 9x^-1 as a fraction

Answers

The answer is -9x hope this helps

Hi if you can answer this i'll mark u brainllest
Approximate √31 with a decimal to the nearest hundredth. How does the square of that approximate compare to 31?

Answers

31 is between the square numbers 25 and 36, whose respective square-roots are 5 and 6.  Lets take the median of 25 and 36 to see how far in the middle 31 is.

(25 + 36) / 2 = 61 / 2 = 30.5

This is close to 31.

Take the median of the square-roots.

(5 + 6) / 2 = 11 / 2 = 5.5   This is the median square-root.

Square-root of 31 is between 5.5 and 6.

√31 = 5.55

NEED HELP ASAP!!! 20 POINTS


Solve using Elimination:


7x + 2y = 24


4x + y = 15


Solution = ( , )

Answers

Answer:

(6, -9)

Step-by-step explanation:

Eliminate y (you can do x too, but y is easier for this problem)

To eliminate y we must get 0y

If one is 2y, the other must be -2y to get to 0

Keep the first equation the same

7x + 2y = 24

Multiply all numbers in the second equation by -2 (so y can be -2y)

-8x + -2y = -30

Positive + Negative = Negative

-8x - 2y = -30

Now add/subtract the two equations from each other

7x + 2y = 24

-8x - 2y = -30

-1x + 0y = -6

-1x = -6

Divide both sides by -1 to isolate variable

-1x ÷ -1 = -6 ÷ -1

x = 6

We could simply plug in the x value into one of the equations, but that's substitution - not elimination. Repeat the same steps for x

I will multiply the first equation by 4 to get 28x and the second equation by -7 to get -28x for an answer of 0x

28x + 8y = 96

-28x - 7y = -105

0x + 1y = -9

1y = -9

Divide both sides by 1 to isolate the variable

1y ÷ 1 = -9 ÷ 1

y = -9

HELP QUICK!!! What is the percent of change when a savings account goes from $128 to $112?

Answers

Answer:

The percent of change is –12.5%.

Answer:

-800%

Step-by-step explanation:

1. you have to do 128-112 and you get 16.

2. you then take 128 and divide by 16 and you should get 8.

3. you take 8 and multiply it by 100 and you should get 800.

4. and since you are going from 128 to 112 you are decreasing so the final number will be negative.

hope this helped!

p.s it would be cool if you gave me brainliest.

You run 2 1/2 miles as a part of an exercise routine. You run 1/3 of that distance on a hill. You run down a slope for the last 1/2 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.

Answers

Given:

Total distance for daily exercise is  [tex]2\dfrac{1}{2}\text{ miles}[/tex].

You run 1/3 of that distance on a hill.

You run down a slope for the last 1/2 of the hill.

To find:

The distance you run down the slope.

Solution:

We have,

Total distance [tex]=2\dfrac{1}{2}\text{ miles}[/tex]

You run 1/3 of that distance on a hill.

Distance on a hill [tex]=\dfrac{1}{3}\times 2\dfrac{1}{2}\text{ miles}[/tex]

You run down a slope for the last 1/2 of the hill.

Distance you run down the slope [tex]=\dfrac{1}{2}\times \dfrac{1}{3}\times 2\dfrac{1}{2}\text{ miles}[/tex]

[tex]=\dfrac{1}{6}\times \dfrac{2\times 2+1}{2}\text{ miles}[/tex]

[tex]=\dfrac{1}{6}\times \dfrac{5}{2}\text{ miles}[/tex]

[tex]=\dfrac{5}{12}\text{ miles}[/tex]

In cannot be expressed as mixed fraction because 5<12.

Therefore, the distance you run down the slope is [tex]\dfrac{5}{12}\text{ miles}[/tex].

Gary needs 24screws for every 2 chairs he builds.

Answers

Answer:

12 x 6 and 12 x 9 so 72 and 108

Answer:

6=72

9=108

Step-by-step explanation:

Given m || n, find the value of x.

Answers

Answer:

45°

Step-by-step explanation:

If the lines are parallel then you know that the straight line has a total degree of 180. you know that part of the line is 135 degrees so 180-135=45

How many solutions does the equation have?

2x + 5 = 4x + 1


A. one solution


B. no solution


C. infinite solutions

Answers

Answer:

one solution

Step-by-step explanation:

Write 512 as a product of primes.

Answers

Answer:2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step-by-step explanation:

The Prime Factorization is:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

In Exponential Form:

29

CSV Format:

2, 2, 2, 2, 2, 2, 2, 2, 2

Prime[1] = 2

Factorization in 1.215935e-5 seconds

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512. It can also be written in exponential form as 2 to the power of 9.

Step-by-step explanation:

see factor tree below </3

if you deposit $1,000 into an account with 4% interest, how much money will be in the account in three years

Answers

Answer:

$1124.86

Step-by-step explanation:

1000(1+0.04)^3=1124.864

Answer:

1,120

Step-by-step explanation:

4% of 1,000 is 40

$40*3 years is 120

add that to 1000 and you get 1,120

The area of one side of the rectangular box is (2x + 15) where x represents the width of the box. Find the length and the width of the box.(showw your solution)​

Answers

Answer:

Length of rectangle = [2x + 15] / x

Step-by-step explanation:

Given:

Area of rectangle = (2x + 15)

Width of the box = x

Find:

Length and width

Computation:

Length of rectangle = Area of rectangle / Width of the box

Length of rectangle = [2x + 15] / x

Given: 5x + 11 + 8x = 128
Prove: x = 9

Answers

Step-by-step explanation:

5 + 11 + 8

5x+11+8

5x+11+8

Simplify

1

Add the numbers

5 + 11 + 8

5x+{\color{#c92786}{11}}+{\color{#c92786}{8}}

5x+11+8

5 + 19

5x+{\color{#c92786}{19}}

5x+19

Solution

5 + 19

(7n - 5)(5n - 8)
Multiply polynomials

Answers

Answer:

35n^2-81n+40

Step-by-step explanation:

Answer:

35n^2+81n+40

Step-by-step explanation:

(7n-5)(5n-8)

35n^2-56n-25n+40

35n^2+81n+40

Jaylenʻs betta fish tank holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water in gallons per minute? Show your work.

Answers

Answer:

2.4 gallons every minute

Step-by-step explanation:

Since we are given three values and one variable that needs to be solved in a ratio problem we can use the Rule of Three to solve for the flow rate of the water with this being represented as x.

4 [tex]\frac{1}{2}[/tex] or 4.5 gallons  <============>  1 [tex]\frac{7}{8}[/tex] or 1.875 minute

     x   gallons   <==============> 1 minute

(1 * 4.5) / 1.875 = x

2.4 gallons = x

Therefore, we can see that the flow rate is 2.4 gallons every minute, meaning that every single minute that the hose is on, it will deposit 2.4 gallons of water into the fish tank.

The mass of an average human
cell is about 0.000000000001 kg.
Which shows this number in scientific
notation?
F
10 x 10-10
G
1 x 10-12
H
10 x 10-13
J
1 x 10-11

Answers

Answer:

10*10^-10

F

Step-by-step explanation:

Count the spaces the decimal point moved. If it moves right its positive. If it moves left its negative.

The scientific notation of the number is [tex]10*10^{-10}[/tex].

It is required to find the scientific notation.

What is Scientific notation?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too.

GFIven:

Count the spaces the decimal point moved. If it moves right its positive. If it moves left its negative.

The mass of an average human

cell is about 0.000000000001 kg.

The scientific notation is

[tex]10*10^{-10}[/tex].

Therefore, the scientific notation of the number is [tex]10*10^{-10}[/tex].

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YALL PLEASE HELP ME WITH THIS I BEG YOU

Answers

Answer:

A. 4, and 6    -->  Same side interior angles

B. 5 and 8     -->  Vertical angles

C. 2 and 6     -->  Corresponding angles

D. 4 and 5     -->  Alternate interior angles

Superman flies at a rate that allows him to travel 4 miles in 23 seconds. At this rate, how long will it take him to go 11 miles? 15 miles?

Answers

Answer:

kid are u joking

Step-by-step explanation:

For 11 miles it is 63.25 seconds for 15 seconds it is 86.25 seconds! Have a great day

Questions:
1.Which expression is a factor of n^2+3n-54?
2. The trinomial x^2-14x+49 can be expressed as?

Answers

1. (n+9) • (n-6) is the answer

The required, 1. factor of the expression n²+ 3n - 54 = (n + 6)(n - 9), 2. x² - 14x + 49 can be expressed as (x - 7)².

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

3.

To factor the quadratic expression n² + 3n - 54, we need to find two numbers whose product is -54 and whose sum is 3. These numbers are 6 and -9.

Therefore, we can write:

n²+ 3n - 54 = (n + 6)(n - 9)

So the expression (n + 6)(n - 9) is a factor of n² + 3n - 54.

2.

The trinomial x² - 14x + 49 can be expressed as the square of a binomial. Specifically, it is the square of (x - 7):

(x - 7)² = (x - 7)(x - 7) = x² - 14x + 49

Therefore, x² - 14x + 49 can be expressed as (x - 7)².

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Use the original price and the markup to find the retail price.
Original price: $70; Markup: 25%

Answers

Answer:

$87.50

Step-by-step explanation:

(70*0.25)+70=87.50

Hope this helps!

Answer:

$87.50

Step-by-step explanation:

The original price of the product is $70. To find the markup price multiply 70 by 0.25 which equals 17.50. Add 70 and 17.50 to get your final answer of $87.50.

Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 45." What is Julio's number?

Answers

Answer:

His number is -25

my questions are just ez points for yall btw

anyways,

whats your biggest fear?
(ihavealot ;c)

Answers

Answer:

Bridges that are over water and have lots of traffic

Step-by-step explanation:

Answer:

My biggest fear are roaches and spiders,

I cant help it they frighten me.

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