Quiz about Writing Exponential Growth and Decay Models

Question 1

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 2

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 3

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(1 - 0.30)^x

Answer

y=30(5000)^x

Answer

y=5000(1 + 0.30)^x

Answer

y=5000xx

Question 4

Change 6.75% to a decimal.

Accepted Answer

.0675

Answer

67.5

Answer

.675

Answer

675

Question 5

Change 11.2% to a decimal.

Accepted Answer

0.112

Answer

11.2

Answer

1.12

Answer

0.0112

Question 6

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

Accepted Answer

.92

Answer

.08

Answer

1.08

Answer

8

Question 7

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 8

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 9

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Accepted Answer

Growth

Answer

Decay

Question 10

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 11

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 12

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Accepted Answer

4309

Answer

14327

Answer

839

Answer

7680

Question 13

In some investment accounts interest is computed on interest that has been earned in previous years. What is this method of computing interest called?

Accepted Answer

compound interest

Answer

double interest

Answer

simple interest

Answer

not enough information

Question 14

When calculating

interest, how do you write the percent?

Accepted Answer

a decimal

Answer

a fraction

Answer

a round number

Answer

not enough information

Question 15

Steve deposited

$5,000 in a savings account that pays 4% interest compounded annually. Which

equation could be used to find the value of the account after 3 years?

Accepted Answer

A = 5,000(1 + 0.04)³

Answer

A = 5,000(1 + 4)³

Answer

A = 5,000(1 + 0.4) x 3

Answer

A = 5,000(0.04)³

Question 16

To earn as much interest as possible, you should open a savings account that earns ______ interest and has the _____ interest rate.

Accepted Answer

compound ; highest

Answer

compound; lowest

Answer

simple ; lowest

Answer

simple ; highest

Question 17

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

Accepted Answer

After 20 days, there are 49 ants in the colony.

Answer

After 49 days there are 20 ants in the colony.

Answer

The amount of ants times 20 is 49.

Answer

After 20 days the amount of ants remaining decreases by 49.

Question 18

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

Accepted Answer

The number of elephants increases by 1.5% each year.

Answer

The number of elephants was 1,015 in 1975.

Answer

The number of elephants increases by 101.5% each year.

Answer

The number of elephants is multiplied by 1.015 each year.

Question 19

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

Accepted Answer

Exponential decay

Answer

Exponential growth

Answer

Linear

Answer

None of the above

Writing Exponential Growth and Decay Models

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