The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?

The Table Shows The Number Of Toys Sold At Penelope's Toys And Games Store In Different Years. Find The

Answers

Answer 1

Answer:

Year - (1993 - 1995)

Step-by-step explanation:

Rate of change in the number of toys sold = [tex]\frac{\text{change in number of toys sold}}{\text{Time interval}}[/tex]

In the interval (1990 - 1993),

Rate of change in number of toys sold = [tex]\frac{32000-20000}{1993-1990}[/tex]

                                                                = [tex]\frac{12000}{3}[/tex]

                                                                = 4000

In the interval (1993 - 1995),

Rate of change = [tex]\frac{42000-32000}{1995-1993}[/tex]

                          = [tex]\frac{10000}{2}[/tex]

                          = 5000

In the interval (2000 - 1995),

Rate of change = [tex]\frac{57000-42000}{2000-1995}[/tex]

                          = [tex]\frac{15000}{5}[/tex]

                          = 3000

In the interval (2006 - 2000),

Rate of change = [tex]\frac{63000-57000}{2006-2000}[/tex]

                          = [tex]\frac{6000}{6}[/tex]

                          = 1000

Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).


Related Questions

The statue or liberty is 305 feet tall measuring from the ground to the tip of the torch if the model is 1/100 the actual size of the staute of liberty, how tall is the model?

Answers

Given:

Height of statue or liberty from the ground = 305 feet

Model is [tex]\dfrac{1}{100}[/tex] the actual size of the statue of liberty.

To find:

The height of the model of statue.

Solution:

According to the question,

Model =  [tex]\dfrac{1}{100}[/tex] of the actual size

        [tex]=\dfrac{1}{100}\times 305[/tex]

        [tex]=3.05[/tex]

Therefore, the height of the model of statue is 3.05 feet.

ILL MARK U BRAINLIEST!!

Answers

Answer:

C

Step-by-step explanation:

Victory or death meant that he was going to fight until he died, and the others make no sense.

Hope this helps plz mark brainliest :D

Answer:

He wrote the words victory or death

That is the correct answer since it is either he wins or he dies and when he dies is the only way they win

Step-by-step explanation:

I hope you do vote me brainliest it would really help me level up

How many push ups will Scott do on day 10 and 20?
How many push ups can scott expect after 4 weeks?
Lisa is also including pushups in her workout and says she does more push ups than Scott because she does fifteen push ups each day, is she correct?
If any one is answering this can you explain how you got the answer.

Answers

Answer:I think 57Step-by-step explanation:

Cuz its adding 2 every time then I just did 28 x 2 and added the extra. Does that make sense?

4 x 8 = 28

28 x 2 = 56

56 + 1 = 57

Olivia baked 16 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in 3 different locations. What if Olivia wants to put only whole loaves at each location? How many loaves will be at each location?

Answers

Answer:

The number of whole loaves at each location = 5 loaves

Step-by-step explanation:

This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:

Numer of loaves of bread = 16

number of locations = 3

next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:

[tex]= \frac{16}{3} = 5\frac{1}{3}[/tex]

This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.

Therefore, the number of whole loaves at each location = 5 loaves

but remember that there will be a remainder of 1 loaf.

it said i got 0.5/1 and idk which one was wrong

Answers

Answer:

Step-by-step explanation:

slope is ( - [tex]\frac{4}{5}[/tex] )

PLEASE HELP!!!Which statement is true? Select all that apply.



The relationship is proportional.

The slope is -6.

The slope is negative.

The y-intercept is -3.

The equation of the line is y = -3x

Answers

Answer:

"The relationship is proportional."

"The relationship is proportional."

"The equation of the line is y = -3x"

Step-by-step explanation:

First, a proportional relationship can be written as:

y = k*x

where k is called the constant of proportionality. (or the slope)

You can see that if we take x = 0, we have

y = k*0 = 0

Then this type of line always passes through the point (0, 0).

And in the graph you can see that this line does that, then:

"The relationship is proportional." is true.

We also can see that as x increases, the value of y decreases, this must imply that k is a negative number, then:

"The slope is negative." is true.

To find the value of the slope, we can take two points that belong to the line.

I will choose:

(0, 0) and (2, -6)

For the slope, we just take the quotient between:

Δy = -6 - 0 = -6  (the difference in the y-components)

Δx = 2 - 0 =  2   (the difference in the x-components)

the slope is:

k = Δy/Δx = -6/2 = -3

Then the slope is -3, and we can write the equation as:

y = -3*x

Then:

"The equation of the line is y = -3x" is true.

Please answer both questions I'm running out of coins I'll try to get more!​

Answers

Answer:

3. 2.1            4. 6.4

Step-by-step explanation:

Answer: 2.1

Step-by-step explanation:

Which graph represents a function, f(x), that has a slop of 3 units and F(0) =14

Answers

Answer:

You didnt leave a picture



please help o need to know the slope!​

Answers

It’s A, rise over run becomes negative three, and the y intercept is 2

Answer:

A

Step-by-step explanation:

100% slope is -3 because you need to move down 3 times which is -3 and move to the right once which is 1

Slope= rise/run

Slope=-3/1 which equals -3

y-intercept= 2 because you just look at the y-axis and see any points that connects to it while the x is zero

A six-pack of sports drinks cost 4.20. what is the price per drink?

Answers

Answer:

.70 cents

Step-by-step explanation:

Just divide $4.20 by 6. Hope this helps! God bless.

to find unit rate divide 4.20/6 to get 70 cents

hope this helps and please mark brainliest

Please some one help please help me I will pray for you

Answers

Answer:

35

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

C

Step-by-step explanation:

y = 5x + 3

y = 5.5x + 2

0.5x = 1

x = 2

y = 13

Answer:

The answer is y = 13

y = 5.5x + 2

x = 2

(5.5 * 2) + 2

(11) + 2 = Y or 13

Find the values for X

Answers

Answer

5

12/4=3

20/4=5

the value of x is 5

a music store marks up the instruments it sells by 30%.If the store bought a guitar for $45, what will be its store price? Give your answer in money format for example if your answer is 14.2, you should type $14.20. No spaces. *

Answers

Answer:

Selling price= $58.5

Step-by-step explanation:

Giving the following information:

Guitar cost price= $45

Mark up percentage= 30%

To calculate the selling price of the guitar, we need to use the following formula:

Selling price= cost price*(1+mark up)

Selling price= 45* (1+0.3)

Selling price= 45*1.3

Selling price= $58.5

Quick! Please Help Me ASAP!
Marissa's dance studio charges a monthly fee, plus a fixed amount per class. The line shows the cost y, for x taken. Write an equation for the line in slope-intercept form. Show your work.

Answers

Answer:

Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total monthly charges for x amount of class.

From the graph, the line passes through point (0,20) and (2, 40). Hence, the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-20=\frac{40-20}{2-0} (x-0)\\\\y-20=2x\\\\y=2x+20[/tex]

Hence the equation for the line in slope-intercept form is y = 2x + 20

Find out more at: https://brainly.com/question/2037828

6TH GRADE MATH A keyboard that costs $400 is marked down 10% for a sale. What is the total savings? What is the new price of the keyboard? you will save $--- and the new price is $-----

Answers

Answer:

$360 and you will save $40

Step-by-step explanation:

400=100%

40=10%

400-40=360

PLEASE HELP ME PLEASE ILL GIVE BRAINLIEST AND ALOT OF POINTS

Answers

The answer is 2/3!!!

Answer:

Write the fraction in simplest form.

− 7 /12

Step-by-step explanation:

I looked it up on Math_Way

1.6 - 1.3 mathematics

Answers

Answer: 0.3 :) :) :) :)

-3=ax-14/4
Solve the equation for x in terms of a.

Answers

Answer:

2/a = x

Step-by-step Explanation:

First you multiply both sides by 4, leaving you with -12 = ax - 14. Then you add 14 to both sides, which gives you 2 = ax. Then divide both sides by a, where you get your answer, 2/a = x

If a car goes from 60 miles per hour to 10 miles per hour in 5 seconds, find its acceleration. Enter your answer as a whole number. Do not label with units of measurement. For example "12." If the answer is a negative number, then you would enter "-12." No spaces between the negative sign and the number. *

Answers

Answer:

[tex]a=-4.47\ m/s^2[/tex]

Step-by-step explanation:

Given that,

Initial speed of a car, u = 60 mph = 26.82 m/s

Final speed of a car, v = 10 mph = 4.47 m/s

Time, t = 5 s

We need to find the acceleration of the car. The rate of change of velocity is called the acceleration of an object. It can be given by :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{4.47 -26.82 }{5}\\\\a=-4.47\ m/s^2[/tex]

So, the acceleration of the car is [tex]4.47\ m/s^2[/tex] and it is deaccelerating.

One month Maya rented 2 movies and 5 video games for a total of $32. The next month she rented 8 movies and 3 video games for a total of $43. Find the rental cost for each movie and each video game.

Answers

Answer: The rental cost for each movie is $3.5  and each video game is $5.

Step-by-step explanation:

Let x= rental cost for each movie

y = rental cost for each movie video game.

As per given,

2x+5y = 32      (i)

8x+3y=43        (ii)

Multiply 4 on both sides of equation (i)

8x+20y = 128     (iii)

Eliminate (ii) from (iii)

17y=85

⇒ y = 5   [divide both sides by 17]

Put this in (i)

2x+5(5)=32

⇒ 2x+25= 32

⇒ 2x= 7

⇒ x  = 3.5    [divide both sides by 2]

Hence, the rental cost for each movie is $3.5  and each video game is $5.

Help ....................

Answers

Answer: 2 (h-f)

Step-by-step explanation:

Factor out 2

h(2)−f(2)

2(h−f)

Ms. Larson was driving home from a vacation. At noon, she was 120 miles from home. Half an hour later, she was 98 miles from home. If Ms. Larson traveled at a constant rate during this time, what was her speed?

Answers

Answer: her speed was “44 miles per hour”

Assuming Ms. Larson was travelling at a constant speed in that half hour, her speed would have been 44 miles per hour.

In order to find the speed of something, use the formula:

= Distance / Time

The distance was:

= First distance from home - Second distance from home

= 120 - 98

= 22 miles

The time was half an hour so will be presented as:

= 0.5 hours

The speed is therefore:

= 22 / 0.5

= 44 miles per hour

In conclusion, Ms. Larson is going at 44 miles per hour.

Find out more at https://brainly.com/question/16832563.

Is –63 − 88 positive or negative

Answers

Answer:

It would equal to a negative

Step-by-step explanation:

Have a good day!

Answer:

negative

Step-by-step explanation:

-63 and -88 are negative

-63-88 is -151

What set does this belong to

Answers

2 Answers:

Choice A) Real Numbers

Choice F) Rational Numbers

===============================================

Explanation:

Any number you encounter so far in your math class is a real number, assuming your teacher hasn't covered complex numbers yet. So -7/16 is a real number.

It is also a rational number. Rational numbers are of the form p/q where p and q are integers. The value of q cannot be zero. Since it is rational, that means it's not irrational.

Since -7/16 = -0.4375 has a fractional or decimal part, it is not a whole number, integer, or natural number. Those numbers only deal with values that don't have any fractional parts.

A) real numbers
F) rational numbers
Hope this helps!!

1.Your paycheck will take 6.2% out of your check for FICA-social security? So if you gross $250 every 2 weeks how much will you pay in Social security?

I just want to know if the every two weeks part matters

Answers

Yes the 2 weeks part does matter

If a football field is 100 yd long, how would you find its length in miles?

Answers

Answer:

If it is yards to miles, you divide. Precisely by 1760.

Therefore, if you were to divided 100 bye 1760, it would be around 0.0568182

Step-by-step explanation:

1 yard is 1/1760 fraction of a mile therefore football field will be 0.05682 miles long.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

1 mile = 1760 yards.

Divide by 1760

1760/1760 yards = 1/1760 mile

1 yard = 1/1760 mile

Multiply by 100

100 yard = 100/1760 mile

100 yard = 0.05682 mile

Hence "1 yard is 1/1760 fraction of a mile therefore football field will be 0.05682 miles long".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

which one?
a b c or d?​

Answers

Answer:

If you look up the equation on google there is a calculator for that and you should get ur answer there

Step-by-step explanation:

Use the graph to answer the question. what is the value of f(5)?​

Answers

well, you can't solve an equation with just one number, at least not this equation. maybe if you show more of the graph, i could help.

Question 1
Equation (1) y = x + 6
Equation (2) y = 2x + 4
Equation (3) y = 3x + 2
Equation (4) y = 5x – 4
The table above shows four equations. If x = 2, which equation has a y-value different from the other three equations?

Answers

equation 4 is different <3
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