Free Printable Homework 7: Exponential Functions

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Homework 7: Exponential Functions

Total questions: 10

Worksheet time: 26mins

Name

Class

Date

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

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

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.

y=6(0.14)^x

y=6(1+14)^x

y=6(1.14)^x

y=6(0.86)^x

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

14327

4309

839

7680

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

9770

9006

9765

5433

A stamp gets more expensive each year. It increases in value by 60 % each year. What is the growth factor (annual multiplier)?

1.06

1.6

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. What is the growth factor?

.96

1.4

1.04

$3000

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What was the population of Brownville in 1980?

102.2 people

720,500 people

1.022 people

1022 people

What is r, the growth rate, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

f(x) = 12000(1 + 14.9)^x

f(x) = 12000(1 - 14.9)^x

f(x) = 12000(1 + 0.149)^x

f(x) = 12000(1 - 0.149)^x

10.

The number of fish in a lake can be modeled by the equation

f\left(x\right)=10,000\left(0.97\right)^x

Is the number of fish in the lake increasing or decreasing and by what rate?

increasing by 3%

decreasing by 3%

increasing by 97%

decreasing by 97%

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Homework 7: Exponential Functions

Total questions: 10

Worksheet time: 26mins

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