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Exponential Function Solution Equation - Growth (Discrete) - Equation to Time

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) - Equation to Time Worksheet

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Exponential Function Solution Equation - Growth (Discrete) - Equation...
1
Rearrange this equation to solve for the time given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing 711 =500 times (1+0.04) to the power of (t)
a A LaTex expression showing t = \ln{\frac{711 over 500 }}{\ln{(1+0.04)}}
b A LaTex expression showing t = \frac{\ln{711 times 500}}{\ln{(1+0.04)}}
2
Rearrange this equation to solve for the time given this model of a growth of an insect population that breeds once per year?
A LaTex expression showing 490 =400 times (1+0.07) to the power of (t)
a A LaTex expression showing t = \ln{\frac{490 over 400 }}{\ln{(1+0.07)}}
b A LaTex expression showing t = \frac{\ln{490 times 400}}{\ln{(1+0.07)}}
3
Rearrange this equation to solve for the time given this model of a growth of a rabbit population (yearly breeding cycle)?
A LaTex expression showing 1,106 =900 times (1+0.03) to the power of (t)
a A LaTex expression showing t = \ln{\frac{1106 over 900 }}{\ln{(1+0.03)}}
b A LaTex expression showing t = \ln{\frac{1106 over 900 }}{\ln{(1-0.03)}}
4
Rearrange this equation to solve for the time given this model of a growth of an insect population that breeds once per year?
A LaTex expression showing 1,096 =600 times (1+0.09) to the power of (t)
a A LaTex expression showing t = \frac{\ln{1096 times 600}}{\ln{(1+0.09)}}
b A LaTex expression showing t = \ln{\frac{1096 over 600 }}{\ln{(1+0.09)}}
5
Rearrange this equation to solve for the time given this model of a growth of a rabbit population (yearly breeding cycle)?
A LaTex expression showing 295 =200 times (1+0.05) to the power of (t)
a A LaTex expression showing t = \ln{\frac{295 over 200 }}{\ln{(1+0.05)}}
b A LaTex expression showing t = \ln{\frac{295 over 200 }}{\ln{(1-0.05)}}
c A LaTex expression showing t = \frac{\ln{295 times 200}}{\ln{(1+0.05)}}
6
Rearrange this equation to solve for the time given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing 475 =400 times (1+0.09) to the power of (t)
a A LaTex expression showing t = \ln{\frac{475 over 400 }}{\ln{(1+0.09)}}
b A LaTex expression showing t = \ln{\frac{475 over 400 }}{\ln{(1-0.09)}}
7
Rearrange this equation to solve for the time given this model of a growth in credit card debt with quarterly interest?
A LaTex expression showing 231 =200 times (1+0.03) to the power of (t)
a A LaTex expression showing t = \ln{\frac{231 over 200 }}{\ln{(1-0.03)}}
b A LaTex expression showing t = \ln{\frac{231 over 200 }}{\ln{(1+0.03)}}
c A LaTex expression showing t = \frac{\ln{231 times 200}}{\ln{(1+0.03)}}
8
Rearrange this equation to solve for the time given this model of a growth in credit card debt with monthly interest?
A LaTex expression showing 816 =700 times (1+0.08) to the power of (t)
a A LaTex expression showing t = \ln{\frac{816 over 700 }}{\ln{(1+0.08)}}
b A LaTex expression showing t = \frac{\ln{816 times 700}}{\ln{(1+0.08)}}
c A LaTex expression showing t = \ln{\frac{816 over 700 }}{\ln{(1-0.08)}}