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Exponential Function Solution Equation - Growth (Discrete) Scenario to Rate

Level 1

The topics in this unit focus on mastering exponential growth and decay functions. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

WorksheetView

Exponential Function Solution Equation - Growth (Discrete) Scenario to Rate Worksheet

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Exponential Function Solution Equation - Growth (Discrete) Scenario t...
1
A rabbit population starts at 400. Each subsequent yearly breeding season it grows by a certain percent. After 9 years it has increased to a population of 620 rabbits.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (620 over 400 ) to the power of 1 over 9 - 1
b A LaTex expression showing r = -(620 over 400 ) to the power of 1 over 9 + 1
2
A savings account starts with $600. Each subsequent quarter it earns a certain percent interest. After 9 quarters it has $853.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (853 over 600 ) to the power of 9 over 2 - 1
b A LaTex expression showing r = (853 over 600 ) to the power of 1 over 9 - 1
c A LaTex expression showing r = -(853 over 600 ) to the power of 1 over 9 + 1
3
An insect population starts at 900. Each subsequent yearly breeding season it grows by a certain percent. After 4 years it has increased to a population of 1,012.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (1012 over 900 ) to the power of 4 over 2 - 1
b A LaTex expression showing r = -(1012 over 900 ) to the power of 1 over 4 + 1
c A LaTex expression showing r = (1012 over 900 ) to the power of 1 over 4 - 1
4
An insect population starts at 400. Each subsequent yearly breeding season it grows by a certain percent. After 2 years it has increased to a population of 441.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (441 over 400 ) to the power of 2 over 2 - 1
b A LaTex expression showing r = -(441 over 400 ) to the power of 1 over 2 + 1
c A LaTex expression showing r = (441 over 400 ) to the power of 1 over 2 - 1
5
An insect population starts at 200. Each subsequent yearly breeding season it grows by a certain percent. After 7 years it has increased to a population of 300.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = -(300 over 200 ) to the power of 1 over 7 + 1
b A LaTex expression showing r = (300 over 200 ) to the power of 1 over 7 - 1
6
A savings account starts with $900. Each subsequent quarter it earns a certain percent interest. After 6 quarters it has $1,206.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = -(1206 over 900 ) to the power of 1 over 6 + 1
b A LaTex expression showing r = (1206 over 900 ) to the power of 1 over 6 - 1
c A LaTex expression showing r = (1206 over 900 ) to the power of 6 over 2 - 1
7
A savings account starts with $300. Each subsequent year it earns a certain percent interest. After 2 years it has $349.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (349 over 300 ) to the power of 2 over 2 - 1
b A LaTex expression showing r = (349 over 300 ) to the power of 1 over 2 - 1
c A LaTex expression showing r = -(349 over 300 ) to the power of 1 over 2 + 1
8
A rabbit population starts at 400. Each subsequent yearly breeding season it grows by a certain percent. After 5 years it has increased to a population of 561 rabbits.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (561 over 400 ) to the power of 5 over 2 - 1
b A LaTex expression showing r = (561 over 400 ) to the power of 1 over 5 - 1
c A LaTex expression showing r = -(561 over 400 ) to the power of 1 over 5 + 1