Quiz about Exponential Functions in Context

Question 1

Hank's car depreciates 14% in value each year. He purchased it for $19,800. Write a function to model the situation.

Accepted Answer

$$f\left(x\right)=19800\left(.86\right)^x$$

Answer

$$f\left(x\right)=0.86x+19800$$

Answer

$$f\left(x\right)=1.14x+19800$$

Answer

$$f\left(x\right)=19800\left(1.14\right)^x$$

Question 2

Claire purchased a rare baseball card $400. Experts estimate that its value will increase by 8% each year. Write a function to model the situation.

Accepted Answer

$$f\left(x\right)=400\left(1.08\right)^x$$

Answer

$$f\left(x\right)=0.92x+400$$

Answer

$$f\left(x\right)=1.08x+400$$

Answer

$$f\left(x\right)=400\left(.92\right)^x$$

Question 3

Which equation represents exponential growth?

Accepted Answer

$$f\left(x\right)=\left(2.45\right)^x$$

Answer

$$f\left(x\right)=\left(0.65\right)^x$$

Answer

$$f\left(x\right)=\left(0.32\right)^x$$

Answer

$$f\left(x\right)=\left(0.92\right)^x$$

Question 4

Which equation represents exponential decay?

Accepted Answer

$$f\left(x\right)=\left(0.22\right)^x$$

Answer

$$f\left(x\right)=\left(1.01\right)^x$$

Answer

$$f\left(x\right)=\left(1.45\right)^x$$

Answer

$$f\left(x\right)=\left(1.00\right)^x$$

Question 5

Question 5.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

What is the decay rate for the following exponential function?

Accepted Answer

76%

Answer

24%

Answer

40%

Answer

60%

Question 7

A new business opens and sells $50 worth of inventory the first month. As time goes on, the owner notices that they triple the amount of inventory sold every month. Write a function to represent M(i), the amount of money made per month since the store has been open.

Accepted Answer

M(i) = 50(3)ⁱ

Answer

M(i) = 50(0.3)ⁱ

Answer

M(i) = 50⁽³⁾ⁱ

Answer

M(i) = 50(3)(i)

Question 8

A skydiver free falls at a speed of 180 miles per hour, and once the parachute opens, their speed decreases by 14% every millisecond. Write a function to represent this scenario.

Accepted Answer

D(t) = 180(0.86)^t

Answer

D(t) = 180(0.14)^t

Answer

D(t) = 180 + (0.14)^t

Answer

D(t) = 180 + (0.86)^t

Question 9

You open your first savings account with a deposit of $100. You are told you will see a return of 8% annually. Write a function to represent this scenario.

Accepted Answer

h(x) = 100(1.08)^x

Answer

h(x) = 100(0.08)^x

Answer

h(x) = 100(0.92)^x

Answer

h(x) = 0.08(100)^x

Question 10

Given the table of the function g(x), which statement(s) is/are true? Select all that apply.

Accepted Answer

The y intercept is (0, 5)

Accepted Answer

g(x) models exponential growth

Accepted Answer

The function for the table is g(x) = 5(1.5)^x

Answer

g(x) is a linear function

Answer

The function for the table is g(x) = 5(2.5)^x

Question 11

The represents ordered pairs of the function f(x). Which of the following statements are true? Select all the apply.

Accepted Answer

f(x) is modeling exponential decay

Accepted Answer

The decay factor is 0.125

Accepted Answer

The y intercept is 120

Answer

The decay factor is 0.875

Answer

The y intercept is 960

Question 12

Two bakeries in a mall tracked how many customers they got each year. Ace's Cakes is purple, and the black function is Sherry's Berries. If the bakeries continue to increase their customers at the same rates, which bakery will have the most customers by year 6?

Accepted Answer

Sherry's Berries because it's growing exponentially.

Answer

Sherry's Berries because it's growing linearly.

Answer

Ace's Cakes because it's growing exponentially.

Answer

Ace's Cakes because it's growing linearly.

Question 13

The hourly rates of hiring Moving Company A and Moving Company B are listed in the table. Which statements would be correct?

Accepted Answer

Moving Company B is charging at an exponential rate.

Answer

Moving Company B will eventually charge more per hour than Company A

Answer

Moving Company A will eventually charge more per hour than Company B, because Company A's charges increase linearly.

Answer

Moving Company B is charging at a constant rate.

Answer

Company A will always charge less than Company B

Question 14

A collector's item was appraised to have a value represented by the following function: $$f\left(x\right)=65\left(1.8\right)^x$$ Select the statement(s) that best describes the value of the investment. Hint: Check all that apply.

Accepted Answer

The value of the item will increase over time.

Accepted Answer

The value of the item will increase by 80%

Accepted Answer

The initial value of the item was $65

Answer

The value of the item will decrease over time.

Answer

The value of the item will decrease by 180%

Question 15

Jamie's podcast has 1,400 subscribers. The number of her subscribers is increasing at a rate of 5.9% each week. Which function would represent her followers after w weeks?

Accepted Answer

y = 1400(1.059)^w

Answer

y = 105.9(1400)^w

Answer

y = 1400(1.59)^w

Answer

y = 1400(5.9)^w

Exponential Functions in Context

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics