Quiz about Growth and Decay

Question 1

Is this exponential growth or decay?

Accepted Answer

Growth because of 1.2

Answer

Growth, because of 7

Answer

Decay, because of 1.2

Answer

Decay because of 7

Question 2

P = 8(1.23)^t

Is the function growth or decay?

Check the box:

Accepted Answer

Growth

Answer

Decay

Question 3

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

Accepted Answer

y=15,000(0.92)^x

Answer

y=8(15,000)^x

Answer

y=15,000(1.08)^x

Answer

y=15,000(0.08)^x

Question 4

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used.

Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

Accepted Answer

Q=30(0.88)^t

Answer

Q=30(1+0.12)^t

Answer

Q=30(1-0.12)^t

Answer

Q=12(1.30)^t

Question 5

Pick the equation that is exponential decay

Accepted Answer

y=2000(0.88)

Answer

y=0.5(1.88)

Answer

y=-4x

Answer

y= -7+10x

Question 6

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 7

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation?

Accepted Answer

y=78(0.5)^x

Answer

y=78(1.5)^x

Answer

y=78(2)x

Question 8

Pick the equation that is exponential growth

Accepted Answer

y = 0.5(2)^x

Answer

y=2(0.5)x

Answer

y = .5x - 2

Answer

y = 2x + .5

Question 9

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 10

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^twhere t is the number of years since 1990. What was the population in 1990?

Accepted Answer

6191

Answer

0 people

Answer

It doesn't say

Answer

I don't know

Question 11

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

Accepted Answer

25,082

Answer

12,937

Answer

62,000

Answer

43,511

Question 12

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

Accepted Answer

34,170

Answer

16,348

Answer

7690

Answer

76,023

Question 13

Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

Accepted Answer

$2.05

Answer

$45.79

Answer

$1.99

Answer

$7.51

Question 14

Thanks to its environmental initiatives, Silvergrove has cut its annual CO2 emissions by 5%. This year, the town produced 290,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 7 years from now? (Round to the nearest whole number if necessary).

Accepted Answer

202,518

Answer

135,792

Answer

78,376

Answer

20,658

Question 15

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

Accepted Answer

12,800

Answer

15,777

Answer

102, 475

Answer

2,500

Question 16

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years? (Round to the nearest cent.)

Accepted Answer

$456.01

Answer

$556.98

Answer

$778.22

Answer

$332.63

Question 17

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

Accepted Answer

$344,022

Answer

$31,500

Answer

$15,000

Answer

$28,500

Question 18

During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths?

Accepted Answer

Just about zero mL

Answer

60 mL

Answer

440 mL

Answer

0 mL

Question 19

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

Accepted Answer

$6994.77

Answer

$11625

Answer

$21,477

Answer

$875

Question 20

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

Accepted Answer

$4440.73

Answer

$3122.18

Answer

$4994.50

Answer

$86,776.40

Question 21

The population of turtles is doubling every 3 months.  If there are 400 turtles now, how many will there be in 2 years?  (Choose equation)

Accepted Answer

y = 400(2)⁸

Answer

y = 400(2)²

Answer

y = 400(2)⁶

Answer

y = 400 + 2(8)

Question 22

Anakin invested $300 in an account with interest compounded continuously. No other money was deposited or withdrawn. In 12 years the amount in the account was $500. What was the annual interest rate?

Accepted Answer

4.25%

Answer

3.15%

Answer

5.0%

Answer

2.8%

Question 23

If a savings fund pays interest at a rate of 6% per year compounded semiannually, how much money invested now will amount to $4000 after 4 years?

Accepted Answer

3160

Answer

3020

Answer

5100

Answer

1008

Growth and Decay

28 questions

Is this exponential growth or decay?

P = 8(1.23)^t
What is the growth rate?
Write as a percent!

P = 8(1.23)^t
What is the initial quantity?

P = 8(1.23)^t
Is the function growth or decay?
Check the box:

Q = 3.1(0.78)^t
What is the DECAY rate?
Write as a percent!
CAREFUL!!!

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used.
Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

Pick the equation that is exponential decay

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?

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

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Growth and Decay

28 questions

Is this exponential growth or decay?

P = 8(1.23)tWhat is the growth rate?Write as a percent!

P = 8(1.23)tWhat is the initial quantity?

P = 8(1.23)tIs the function growth or decay?Check the box:

Q = 3.1(0.78)tWhat is the DECAY rate?Write as a percent!CAREFUL!!!

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used.Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

Pick the equation that is exponential decay

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?

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

P = 8(1.23)^t
What is the growth rate?
Write as a percent!

P = 8(1.23)^t
What is the initial quantity?

P = 8(1.23)^t
Is the function growth or decay?
Check the box:

Q = 3.1(0.78)^t
What is the DECAY rate?
Write as a percent!
CAREFUL!!!

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used.
Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

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?