Quiz about 1-31-25 Exponential Growth and Decay

Question 1

$y=1200\ \left(1.3\right)^x$

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

Quadratic

Question 2

$$y=1200\ \left(1.3\right)^x$$

What is the percentage growth or decay?

Accepted Answer

30%

Answer

3%

Answer

13%

Answer

0.3%

Question 3

$y=1200\ \left(1.3\right)^x$

What is the initial value (zero term)?

Accepted Answer

1200

Answer

1

Answer

0.3

Answer

30%

Question 4

$y=1200\ \left(1.3\right)^x$

The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. How many fleas were on Riley when he arrived at the shelter?

Accepted Answer

6

Answer

0

Answer

1

Answer

35

Question 5

$y=1200\ \left(1.3\right)^x$
The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. What is the rate of growth (increase) of fleas on Riley if no treatment was applied?

Accepted Answer

35%

Answer

6%

Answer

100%

Answer

3.5%

Question 6

Which of the following equations represent an exponential growth of 7%?

Accepted Answer

$y=50\ \left(1.07\right)^x$

Answer

$y=50\ \left(1.07\right)^x$

Answer

$y=50\ \left(1.07\right)^x$

Answer

$y=50\ \left(1.07\right)^x$

Question 7

You decide to sell your iPhone. You initially paid $500 for it. It has been 2 years and each year the value depreciated 35%. How much is it worth now? Round your answer to the nearest whole number.

Accepted Answer

211

Answer

241

Answer

391

Answer

430

Question 8

A house appreciates in value at a rate of 5% annually. The house is valued at $130,000 today. How much will it be worth one year from now?

Accepted Answer

136,500

Answer

125,000

Answer

145,000

Answer

230,000

Question 9

Which of the following situations represent an exponential decay? Select all that apply.

Accepted Answer

y = 120,000(.9)^x

Accepted Answer

The value of a car depreciates at 12% a year.

Answer

y = 120,000(1.1)^x

Answer

The value of a house appreciates at 12% a year.

Answer

A savings account earns interest at a rate of 4% a quarter.

Question 10

Which of the following graphs represent an exponential decay?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 11

$y=50\ \left(1.07\right)^x$

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

Quadratic

Question 12

$y=1200\ \left(0.9\right)^x$

What is the rate of growth (increase) or decay (decrease)?

Accepted Answer

10%

Answer

9%

Answer

90%

Answer

1%

Question 13

A car purchased for $18,000 depreciates by 15% every year. Which of the following equations represent the value of the car?

Accepted Answer

$y=1200\ \left(1.3\right)^x$

Answer

$y=1200\ \left(1.3\right)^x$

Answer

$y=1200\ \left(1.3\right)^x$

Answer

$y=1200\ \left(1.3\right)^x$

Question 14

Which function represents the graph?

Accepted Answer

$$f\left(x\right)=2\cdot5^x$$

Answer

f $$f\left(x\right)=2\cdot4^x$$

Answer

$$f\left(x\right)=2\cdot\left(\frac{1}{5}\right)^x$$

Answer

$$f\left(x\right)=3\cdot5^x$$

Question 15

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

Accepted Answer

4%

Answer

It doesn't say

Answer

I don't know

Answer

400%

Question 16

Identify the percent (%) increase or decrease for the following function.

y= 35 (0.94)^x

Accepted Answer

Decrease by 6%

Answer

Increase by 6%

Answer

Decrease by 0.06%

Answer

Increase by 0.06%

1-31-25 Exponential Growth and Decay

28 questions

$y=1200\ \left(1.3\right)^x$

$y=1200\ \left(1.3\right)^x$
What is the initial value (zero term)?

A piece of land was purchased for $65,000. The value of the land has slowly been decreasing by 1% annually. Which of the following functions represent this land?

$f(x)=6(1.35)^x$
The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. How many fleas were on Riley when he arrived at the shelter?

$f\left(x\right)=6\ \left(1.35\right)^x$
The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. What is the rate of growth (increase) of fleas on Riley if no treatment was applied?

Which of the following equations represent an exponential growth of 7%?

You decide to sell your iPhone. You initially paid $500 for it. It has been 2 years and each year the value depreciated 35%. How much is it worth now? Round your answer to the nearest whole number.

A house appreciates in value at a rate of 5% annually. The house is valued at $130,000 today. How much will it be worth one year from now?

Which of the following situations represent an exponential decay? Select all that apply.

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1-31-25 Exponential Growth and Decay

28 questions

y=1200 (1.3)xy=1200\ \left(1.3\right)^xy=1200 (1.3)x

y=1200 (1.3)xy=1200\ \left(1.3\right)^xy=1200 (1.3)x What is the initial value (zero term)?

A piece of land was purchased for $65,000. The value of the land has slowly been decreasing by 1% annually. Which of the following functions represent this land?

f(x)=6(1.35)xf(x)=6(1.35)^xf(x)=6(1.35)x The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. How many fleas were on Riley when he arrived at the shelter?

Which of the following equations represent an exponential growth of 7%?

You decide to sell your iPhone. You initially paid $500 for it. It has been 2 years and each year the value depreciated 35%. How much is it worth now? Round your answer to the nearest whole number.

A house appreciates in value at a rate of 5% annually. The house is valued at $130,000 today. How much will it be worth one year from now?

Which of the following situations represent an exponential decay? Select all that apply.

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Discover more resources for Mathematics

$y=1200\ \left(1.3\right)^x$

$y=1200\ \left(1.3\right)^x$
What is the initial value (zero term)?

$f(x)=6(1.35)^x$
The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. How many fleas were on Riley when he arrived at the shelter?