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Exponential Function Solution Equation - Growth (Discrete, Mis-matched Time Units) 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, Mis-matched Time Units) Scenario to Rate Worksheet

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Exponential Function Solution Equation - Growth (Discrete, Mis-matche...
1
A credit card starts with $200 of debt. Each subsequent year it grows by a certain percent interest. After 12 quarters the debt has grown to $359.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (359 over 200 ) to the power of 1 over \frac{12 {4 } } - 1
b A LaTex expression showing r = (359 over 200 ) to the power of \frac{12 over 4 {2} } - 1
c A LaTex expression showing r = -(359 over 200 ) to the power of 1 over 12 times 4 + 1
2
A savings account starts with $400. Each subsequent month it earns a certain percent interest. After 9 years it has $735.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (735 over 400 ) to the power of 1 over 9 times 12 - 1
b A LaTex expression showing r = -(735 over 400 ) to the power of 1 over \frac{9 {12 } } + 1
c A LaTex expression showing r = (735 over 400 ) to the power of 9 times 12 over 2 - 1
3
A savings account starts with $700. Each subsequent quarter it earns a certain percent interest. After 5 years it has $1,028.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = -(1028 over 700 ) to the power of 1 over \frac{5 {4 } } + 1
b A LaTex expression showing r = (1028 over 700 ) to the power of 5 times 4 over 2 - 1
c A LaTex expression showing r = (1028 over 700 ) to the power of 1 over 5 times 4 - 1
4
A credit card starts with $800 of debt. Each subsequent month it grows by a certain percent interest. After 2 years the debt has grown to $950.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (950 over 800 ) to the power of 1 over 2 times 12 - 1
b A LaTex expression showing r = -(950 over 800 ) to the power of 1 over \frac{2 {12 } } + 1
c A LaTex expression showing r = (950 over 800 ) to the power of 2 times 12 over 2 - 1
5
A savings account starts with $400. Each subsequent quarter it earns a certain percent interest. After 15 months it has $1,456.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = -(1456 over 400 ) to the power of 1 over 15 times 3 + 1
b A LaTex expression showing r = (1456 over 400 ) to the power of \frac{15 over 3 {2} } - 1
c A LaTex expression showing r = (1456 over 400 ) to the power of 1 over \frac{15 {3 } } - 1
6
A credit card starts with $500 of debt. Each subsequent year it grows by a certain percent interest. After 72 months the debt has grown to $65,253.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (65253 over 500 ) to the power of 1 over \frac{72 {12 } } - 1
b A LaTex expression showing r = (65253 over 500 ) to the power of \frac{72 over 12 {2} } - 1
7
A credit card starts with $900 of debt. Each subsequent quarter it grows by a certain percent interest. After 12 months the debt has grown to $2,026.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = -(2026 over 900 ) to the power of 1 over 12 times 3 + 1
b A LaTex expression showing r = (2026 over 900 ) to the power of \frac{12 over 3 {2} } - 1
c A LaTex expression showing r = (2026 over 900 ) to the power of 1 over \frac{12 {3 } } - 1
8
A credit card starts with $700 of debt. Each subsequent year it grows by a certain percent interest. After 108 months the debt has grown to $378,557.
Rearrange the exponential equation to solve for for the rate given this scenario?
a A LaTex expression showing r = (378557 over 700 ) to the power of \frac{108 over 12 {2} } - 1
b A LaTex expression showing r = (378557 over 700 ) to the power of 1 over \frac{108 {12 } } - 1
c A LaTex expression showing r = -(378557 over 700 ) to the power of 1 over 108 times 12 + 1