Mathematics High School

Determine if the table shows a linear or an exponential function​

Determine If The Table Shows A Linear Or An Exponential Function

Answers

Answer 1

Answer:

The table shows an exponential function

Step-by-step explanation:

Linear vs Exponential Functions

A linear function is written as:

[tex]y=mx+b[/tex]

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

An exponential function is written as:

[tex]y=y_o.r^x[/tex]

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

[tex]\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}[/tex]

Calculate the slope for (0,4) and (1,2):

[tex]\displaystyle m=\frac{2-4}{1-0}=-2[/tex]

Calculate the slope for (1,2) and (2,1):

[tex]\displaystyle m=\frac{1-2}{2-1}=-1[/tex]

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

[tex]\displaystyle r=\sqrt[1-0]{\frac{1}{2}}[/tex]

The radical of index 1 is simply equal to its argument:

[tex]\displaystyle r=\frac{1}{2}[/tex]

Now calculate the ratio for (0,4) and (2,1)

[tex]\displaystyle r=\sqrt[2-0]{\frac{1}{4}}[/tex]

[tex]\displaystyle r=\sqrt{\frac{1}{4}}[/tex]

[tex]\displaystyle r=\frac{1}{2}[/tex]

Testing other points we'll find the same ratio, thus the table is an exponential function

Answer 2
Like ya cuttt g..........

Related Questions

pls answer I give brainliest

Answers

Answer:

8

Step-by-step explanation:

What is mZBAD
0 25°
O 850
O 110°
O 125°

Answers

Answer:

110°

Step-by-step explanation:

just add 85+25 and that's equal to 110°

what is the y intercept ​

Answers

Answer:

there is no picture but the y intercept can be either positive or negative. it is the point where the x is 0 and the y is a number. it lies on the y axis.

Step-by-step explanation:

Answer:

Y intercept is is where the line crosses the y-axis (touches the y-axis).

Step-by-step explanation:

Find the measure of the missing angle.

Answers

Answer:

i think 32

Step-by-step explanation:

subtract 90 and 58 from 180

Screenshot down below! Please help me its urgent!

Answers

the answer would be B

Mr. Gottula can eat two tacos in 8 minutes. Mrs. K can eat three tacos in 15 minutes.
(5a) Who eats tacos faster? How do you know? *

(5b) What is the UNIT RATE for Mr. Gottula? (In other words, how many minutes does it take for him to eat one taco?) *

(5c) At this rate, how long would it take Mr. Gottula to eat four tacos? *

Answers

(5a) Answer: Mr. Gottula eats the tacos faster

(5b) Answer: It takes Mr. Gottula 4 minutes to eat 1 taco

(5c) Answer: It will take Mr. Gottula 16 minutes to eat 4 tacos

Step-by-step explanation:

(5b) If we know that Mr. Gottula can eat two tacos every 8 minutes, and Mrs. K can eat three tacos in 15 minutes, first we have to find out how many tacos they eat in 1 minute. Finding how much they eat in one minute is mathematically called THE UNIT RATE. So to find the unit rate we have to divide the time it takes Mr. Gottula to eat the tacos by 2.

If Mr. Gottula can eat 2 tacos in eight minutes we have to find how much he can eat in one minute. So we have to divide the time Mr. Gottula took to ate by 2 and we also have to divide the tacos Mr. Gottula ate by 2. So now lets do the math, 8 divided by 2 is 4, and 2 divided by 2 is 1. So we now know the unite rate. Mr. Gottula ate 1 taco in 4 minutes. To find Mrs. k's unit rate we do the same thing, but we have to divide it by 3 since Mrs. k ate 3 tacos in 15 minutes. So we now have to find the unit rate for Mrs. k. Lets now do the math, 15 divided by 3 is 5 and 3 divided by 3 is 1. So now we know the unit rate of Mrs. k, Mrs. k ate 1 taco in 5 minutes. Mr. Gottula eats a taco every 4 minutes, while Mrs. K eats a taco every 5 minutes. So Mr. Gottula is eating faster.

(5c) So next it says "At this rate, how long would it take Mr. Gottula to eat four tacos?" So if we know that Mr. Gottula eats a taco every 4 minutes we just have to find out how many minutes will it take  Mr. Gottula to eat 4 tacos. He eats 1 taco in 4 minutes so we have to multiply the tacos by 4 and we have to also multiply the time by 4 to find out how long it takes  Mr. Gottula to eat 4 tacos. So lets do the math, 4 times 1 is 4 and 4 times 4 is 16 so we now know that  Mr. Gottula eats 4 tacos in 16 minutes.

I hope this helped you lg1056 keep on asking questions.

A hawk can travel at a speed of 120 miles per hour.

How long would it take a hawk to travel 840 miles without stopping?

Answers

Answer:

The answer is 7

Step-by-step explanation:

Because 840 divided by 120 is 7

Miriam and Dave want to borrow $25,000 to put an addition on their house. They went over their budget, and they can afford to pay $450 a month. If the
bank offers them a home improvement loan with an APR of 6.3%, what should the length of the loan be so they can afford the monthly payments?

Answers

Answer:

The length of the loan will be about 5.5 years

Answer:

5.5 years

Step-by-step explanation:

Simplify 3n* (-2p²) to the power of 5.

Answers

Answer:

-96np^10

Step-by-step explanation:

I hope it's right

"Two less than the total of a number and five"​

Answers

Answer:

3

Step-by-step explanation:

I need help in this, urgently. Please

Answers

Answer:

FE is greatest, GF is second, and GE is least. Flip it around bc Im dumb and did greatest to least and you get

GE then GF then FE, which is A

Step-by-step explanation:

The higher the opposite angle, the higher the side length.

What is the slope of the linear function given the following table?

Answers

Answer:

Well since this question is asking for a slope I got -2/3. Correct me if I am wrong

Step-by-step explanation:

I use (0,4) and (3,2)

I use the slope formula

y2-y1/x2-x1

2-4/3-0=-2/3

I got -2/3

Please help i will give Brainiest (select all that describes the scatterplot)

Answers

We can help if you don't show the scatterplot.

Please help me w the equation and please don’t take advantage of the points.

Answers

Answer:

1x

6y

Step-by-step explanation:

A number m is at least −1 or at most −10
Write the following sentences as inequalities

Answers

-1 ≤ m ≥ -10

Yea there is the answer

2\left(4\right)+5\left(1\right)−4\left(1\right)

Answers

Answer:

the answer is 9 hope this helps :)

The correct answer to this question is 9.

Hope you have a blessed day!

Explain why 2(z – 1) = 4(z + 5) has one solution. Choose the best response below.
A. The coefficients of z are the same, but the constant terms are different.
B. The coefficients of z are the same, but the constant terms are the same.
C. The coefficients of z are the same, and the constant terms are the same.
D. The coefficients of z are different, and the constant terms are different.

Answers

First to answer

Answer:

A. The coefficients of z are the same, but the constant terms are different.

Step By step Explanation:

2(z – 1) = 4(z + 5)

Step 1: Simplify both sides of the equation.

2(z−1)=4(z+5)

(2)(z)+(2)(−1)=(4)(z)+(4)(5)(Distribute)

2z+−2=4z+20

2z−2=4z+20

Step 2: Subtract 4z from both sides.

2z−2−4z=4z+20−4z

−2z−2=20

Step 3: Add 2 to both sides.

−2z−2+2=20+2

−2z=22

Step 4: Divide both sides by -2.

−2z/−2 = 22/−2

z=−11

The coefficients for z are the same, but the constants are different.

Which of the following are possible solutions to following system of linear inequalities:
y<4/3x+4
x(less than or equal to)3
A. (3, 10)
B. (0,4)
C. (3,6)
D. (0,0)
E. (3,0)
F. (-6,2)
MORE THAN ONE IS CORRECT

Answers

The answer Is F or the C

Please help solve the equation and please don’t take advantage of the points.

Answers

Answer:

m=2/3, b=4

Step-by-step explanation:

Using the rise over run method, you can count from two points. Also since this line is positive. The b is found by seeing where the line crosses the y axis. It crosses at 4.

thomas bought a bottle of shampoo that held 10.5 fluid ounces. he uses 1/16 of the shampoo everytime he washes his hair. how many ounces of the shampoo are left after he washes his hair 6 times?​

Answers

Answer:

3.9375oz

i think this is right

Answer:

2.66666666667

Step-by-step explanation:

Translate the algebraic expression into an ALGEBRAIC PHRASE:
3(x+2)
This is for my math class
Im trying to understand how to say it so please give a short explanation.

Answers

Answer:

the product of 3, and a number increased by 2

*ANSWER ASAP PLS!, WILL MARK BRAINLIEST*
Which represents y=x+3 in function notation?
a.) y= f (x) + 3

b.) y ( f ) = x+3

c.) f = x + 3

d.) f (x) = x + 3

Answers

Answer:

f(x)=x+3

i believe this is the answer

Does anyone know the answer to this

Answers

Answer:

1

Step-by-step explanation:

Mark as brainliest

In terms of p and a what is the value of x in the equation 2x+a=p

Answers

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII lol IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

What is the exact solution to the system of equations shown on the graph? HELPPPPP !!!​

Answers

Answer:

The answer is B

Step-by-step explanation:

I made an approximation by looking and using paint 3D to even zoom up the image

pls mark me as brainliest

Who has the biggest dump truck?

Answers

Answer:

Doland trump

Step-by-step explanation:

Answer:

Kim K.

Step-by-step explanation:

PLS HELP ASAP!!!!
Translate the sentence into an equation.
Three less than the product of 7 and a number equals 9 .

Use the variable W for the unknown number.

Answers

7w - 3 = 9

Hope this helps!

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.



y = 3.4x + 43



According to the model, how many pizzas will be sold nightly if 15 coupons are issued?



Enter your answer in the box.

# of pizzas_____

Answers

Answer:

94 pizzas will be sold

Step-by-step explanation:

We have to use the equation and replace 15 with x.

x=15

y=3.4x + 43

y=3.4(15) + 43

y=51 + 43

y=94

(15,94)

There will be 94 pizzas sold nightly if 15 coupons were issued.

Answer: To answer this question, substitute the number of tickets sold for the x value.

y = 3.4(15) + 43

Solve the equation by first multiplying the 3.4 and the 15.

3.4 x 15 = 51

This leaves your equation looking like this:

y = 51 + 43

The final step is to add he two integers together.

51 + 43 = 94

So the final answer is y = 94

Therefore, there will be 94 pizzas sold nightly if 15 coupons were issued.

Hope this helps... Plz mark me brainliest if i am correct... Stay safe and have a great weekend!!! :D

Mason can plant 12 bushes in 60 minutes. How many can he plant in 3 hours?​

Answers

Well first-

Mason planted 12 bushes in one hour, so basically all you have to do is multiply the amount of bushes planted in a hour (12) by the hours (3) so-

12 x 3 = 36 plants for 3 hours

your welcome :)

I don’t understand this like at all help me out plssss

Answers

Answer:

im pretty sure its reflection my teacher said it was

the answer is reflection
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