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Exponential Function Solving - Growth (Continuous, Mis-matched Time Units) Equation to Value at Time

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.

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Exponential Function Solving - Growth (Continuous, Mis-matched Time Units) Equation to Value at Time Worksheet

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Exponential Function Solving - Growth (Continuous, Mis-matched Time U...
1
Solve for the final population given this model of a continuous growth of a rabbit population?
A LaTex expression showing P =400 times e to the power of (0.09 times 8 times 4)
a A LaTex expression showing P = P sub 0 - e to the power of (r times t over 4 )
b A LaTex expression showing P = P sub 0 times e to the power of (r over t times 4 )
c A LaTex expression showing P = P sub 0 times e to the power of (r times t times 4)
2
Solve for the final cash given this model of a continuously compounding growth of money in a savings account?
A LaTex expression showing P =200 times e to the power of (0.03 times 4 over 12 )
a A LaTex expression showing P = P sub 0 times e to the power of (r times t over 12 )
b A LaTex expression showing P = P sub 0 - e to the power of (r times t times 12)
c A LaTex expression showing P = P sub 0 times e to the power of (r over \frac{t {12 })}
3
Solve for the final cash given this model of a continuously compounding growth of money in a savings account?
A LaTex expression showing P =300 times e to the power of (0.06 times 8 times 12)
a A LaTex expression showing P = P sub 0 - e to the power of (r times t over 12 )
b A LaTex expression showing P = P sub 0 times e to the power of (r over t times 12 )
c A LaTex expression showing P = P sub 0 times e to the power of (r times t times 12)
4
Solve for the final views given this model of a continuous exponential growth of social media post views?
A LaTex expression showing V =800 times e to the power of (0.07 times 5 times 7)
a A LaTex expression showing V = V sub 0 - e to the power of (r times t over 7 )
b A LaTex expression showing V = V sub 0 times e to the power of (r times t times 7)
c A LaTex expression showing V = V sub 0 times e to the power of (r over t times 7 )
5
Solve for the final debt given this model of a growth of debt on a credit card with continuous compounding?
A LaTex expression showing D =500 times e to the power of (0.06 times 2 times 4)
a A LaTex expression showing D = D sub 0 - e to the power of (r times t over 4 )
b A LaTex expression showing D = D sub 0 times e to the power of (r over t times 4 )
c A LaTex expression showing D = D sub 0 times e to the power of (r times t times 4)
6
Solve for the final price given this model of a continuously compounding growth of a share price?
A LaTex expression showing S =700 times e to the power of (0.02 times 5 times 3)
a A LaTex expression showing S = S sub 0 times e to the power of (r times t times 3)
b A LaTex expression showing S = S sub 0 times e to the power of (r over t times 3 )
c A LaTex expression showing S = S sub 0 - e to the power of (r times t over 3 )
7
A LaTex expression showing P =300 times e to the power of (0.09 times 2 over 7 )
Solve for the final population given this model of a continuous growth of an insect population?
a A LaTex expression showing P = P sub 0 times e to the power of (r times t over 7 )
b A LaTex expression showing P = P sub 0 times e to the power of (r over \frac{t {7 })}
8
A LaTex expression showing S =800 times e to the power of (0.07 times 9 over 4 )
Solve for the final price given this model of a continuously compounding growth of a share price?
a A LaTex expression showing S = S sub 0 times e to the power of (r times t over 4 )
b A LaTex expression showing S = S sub 0 times e to the power of (r over \frac{t {4 })}