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Exponential Function Solution Equation - Growth (Discrete) Scenario to Starting Value

Level 1

The topics in this unit focus on understanding how to work with 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 Starting Value Worksheet

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Exponential Function Solution Equation - Growth (Discrete) Scenario t...
1
A savings account starts with a certain amount of cash. Each subsequent year it earns 5% in interest. After 3 years it has $231.
Rearrange the exponential equation to solve for for the starting cash given this scenario?
a A LaTex expression showing P sub 0 = 231 over (1+0.05) to the power of 3
b A LaTex expression showing P sub 0 = 231 over (1-0.05) to the power of 3
2
An insect population starts at a certain size. Each subsequent yearly breeding season it grows by 4%. After 6 years it has increased to a population of 253.
Rearrange the exponential equation to solve for for the starting population given this scenario?
a A LaTex expression showing P sub 0 = 253 over (1-0.04) to the power of 6
b A LaTex expression showing P sub 0 = 253 over (1+0.04) to the power of 6
c A LaTex expression showing P sub 0 = 253 times (1+0.04) to the power of 6
3
A savings account starts with a certain amount of cash. Each subsequent quarter it earns 9% in interest. After 2 quarters it has $950.
Rearrange the exponential equation to solve for for the starting cash given this scenario?
a A LaTex expression showing P sub 0 = 950 over (1-0.09) to the power of 2
b A LaTex expression showing P sub 0 = 950 over (1+0.09) to the power of 2
4
An insect population starts at a certain size. Each subsequent yearly breeding season it grows by 4%. After 7 years it has increased to a population of 263.
Rearrange the exponential equation to solve for for the starting population given this scenario?
a A LaTex expression showing P sub 0 = 263 over (1+0.04) to the power of 7
b A LaTex expression showing P sub 0 = 263 over (1-0.04) to the power of 7
c A LaTex expression showing P sub 0 = 263 times (1+0.04) to the power of 7
5
An insect population starts at a certain size. Each subsequent yearly breeding season it grows by 6%. After 8 years it has increased to a population of 478.
Rearrange the exponential equation to solve for for the starting population given this scenario?
a A LaTex expression showing P sub 0 = 478 times (1+0.06) to the power of 8
b A LaTex expression showing P sub 0 = 478 over (1+0.06) to the power of 8
c A LaTex expression showing P sub 0 = 478 over (1-0.06) to the power of 8
6
A savings account starts with a certain amount of cash. Each subsequent year it earns 8% in interest. After 9 years it has $599.
Rearrange the exponential equation to solve for for the starting cash given this scenario?
a A LaTex expression showing P sub 0 = 599 over (1+0.08) to the power of 9
b A LaTex expression showing P sub 0 = 599 over (1-0.08) to the power of 9
c A LaTex expression showing P sub 0 = 599 times (1+0.08) to the power of 9
7
A savings account starts with a certain amount of cash. Each subsequent quarter it earns 6% in interest. After 8 quarters it has $478.
Rearrange the exponential equation to solve for for the starting cash given this scenario?
a A LaTex expression showing P sub 0 = 478 times (1+0.06) to the power of 8
b A LaTex expression showing P sub 0 = 478 over (1+0.06) to the power of 8
c A LaTex expression showing P sub 0 = 478 over (1-0.06) to the power of 8
8
A rabbit population starts at a certain size. Each subsequent yearly breeding season it grows by 5%. After 3 years it has increased to a population of 926 rabbits.
Rearrange the exponential equation to solve for for the starting population given this scenario?
a A LaTex expression showing P sub 0 = 926 over (1-0.05) to the power of 3
b A LaTex expression showing P sub 0 = 926 over (1+0.05) to the power of 3