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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Relations and FunctionsSection:Exponential Growth and Decay
 

Problem: 1

In the exponential function given below, identify the initial amount and the growth rate.

y = 250(1 + 0.2)t

 

Problem: 3

In the exponential function given below, identify the initial amount and the growth rate.

y = 9.8(1.35)t

 

Problem: 5

Write an exponential growth function to model the situation.

A population of 422,000 increases by 12% each year.

 

Problem: 7

Write an exponential growth function to model the situation.

You start with $30,000 and earn 15% interest each year.

Percentage of increase = 15%

Number of years = 25

 

Problem: 9

An initial population of 750 endangered turtles triples each year for 5 years. Find the growth factor for the population and the population after 5 years.

 

Problem: 11

The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.

 

Problem: 13

A car bought for $13,000 depreciates at 12% per annum. What is its value after 7 years?

 

Problem: 15

If a person takes A milligrams of a drug at time 0, then y = A(0.7) t gives the concentration left in the bloodstream after t hours. If the initial dose is 125 mg, what is the concentration of the drug in the bloodstream after 3 hours?

 

Problem: 17

Does the equation y = 11(1.11) t model exponential growth or exponential decay?

Find the growth or decay factor and the percent change per time period.

 

Problem: 19

Does the equation y = 27(3/2) t model exponential growth or exponential decay?

Find the growth or decay factor and the percent change per time period.

 

Problem: 21

Does the equation y = 7(3/4) t model exponential growth or exponential decay?

Find the growth or decay factor and the percent change per time period.