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

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

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

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

f(x) is modeling exponential decay

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?

Sherry's Berries because it's growing exponentially.

Sherry's Berries because it's growing linearly.

Ace's Cakes because it's growing exponentially.

Ace's Cakes because it's growing linearly.

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

Moving Company B is charging at an exponential rate.

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

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

Moving Company B is charging at a constant rate.

Company A will always charge less than Company B

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.

The value of the item will increase over time.

The value of the item will increase by 80%

The initial value of the item was $65

The value of the item will decrease over time.

The value of the item will decrease by 180%

Exponential Functions in Context

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Used 2+ times

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 5 pts

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

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

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

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

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

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

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.

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

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

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

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

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which equation represents exponential growth?

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

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

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

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

Tags

CCSS.HSF-LE.A.1A

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which equation represents exponential decay?

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

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

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

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

Tags

CCSS.HSF-LE.A.1A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7E

DRAG AND DROP QUESTION

1 min • 1 pt

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

$f\left(x\right)=40\left(1.075\right)^x$

$f\left(x\right)=43\left(1.075\right)^x$

$f\left(x\right)=40\left(.075\right)^x$

$f\left(x\right)=43\left(.075\right)^x$

Tags

CCSS.HSF.LE.A.2

DROPDOWN QUESTION

1 min • 1 pt

The population of wolves in an area is represented by the function $y=800\left(0.95\right)^x$ where x is the number of years since the year 2000.
In this function, a = (a) and b = (b) . This is a (c) function. The population started at (d) and decreases (e) every year.

800

0.95

2000

decay

growth

95%

Tags

CCSS.HSF-IF.C.8B

DRAG AND DROP QUESTION

1 min • 1 pt

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

$f(x)=417(1-0.0375)^x$

$f(x)=417(1-3.75)^x$

$f(x)=417(1+0.0375)^x$

$f(x)=417(1+3.75)^x$

Tags

CCSS.HSF.LE.A.2

MATH RESPONSE QUESTION

1 min • 1 pt

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.

$y=500\left(0.68\right)^x$

Mathematical Equivalence

Tags

CCSS.HSF.LE.A.2

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Exponential Functions in Context

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

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.

Which equation represents exponential growth?

Which equation represents exponential decay?

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour. Create a function that can be used to find y, the mass of the substance in grams remaining after x hours. Enter your answer in the space provided.

Create the exponential function with the following attributes:Asymptote: y = 0Initial value: 3Point on the graph: (2, 6)Growth

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Discover more resources for Mathematics

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.

Create the exponential function with the following attributes:
Asymptote: y = 0
Initial value: 3
Point on the graph: (2, 6)
Growth