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Exponential Function Solving - Growth (Discrete) Equation to Value at Time

Level 1

This math topic focuses on applying and solving exponential growth models. The questions involve determining the final values of populations and financial amounts based on discrete growth equations, representative of processes like breeding, credit debt accumulation, or savings growth. Each problem provides an exponential equation and requires computation of the result after a specific number of time periods using parameters like initial amount and growth rate. The content is beneficial for understanding how exponential functions work in practical, real-life scenarios like biology and finance.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Exponential Function Solving - Growth (Discrete) Equation to Value at Time Worksheet

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Exponential Function Solving - Growth (Discrete) Equation to Value at...
1
Solve for the final population given this model of a growth of an insect population that breeds once per year?
A LaTex expression showing P =500 times (1+0.09) to the power of (6)
a A LaTex expression showing 2 + P = P sub 0 times (1 - r) to the power of ( t)
b A LaTex expression showing 8 + P = P sub 0 over (1 + r) to the power of ( t)
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t)
d A LaTex expression showing 7 + P = P sub 0 over (1 + r) to the power of ( t)
2
Solve for the final debt given this model of a growth in credit card debt with yearly interest?
A LaTex expression showing D =700 times (1+0.04) to the power of (8)
a A LaTex expression showing D = D sub 0 times (1 + r) to the power of ( t)
b A LaTex expression showing 5 + D = D sub 0 over (1 + r) to the power of ( t)
c A LaTex expression showing 2 + D = D sub 0 times (1 - r) to the power of ( t)
d A LaTex expression showing 9 + D = D sub 0 over (1 + r) to the power of ( t)
3
Solve for the final population given this model of a growth of a rabbit population (yearly breeding cycle)?
A LaTex expression showing P =900 times (1+0.03) to the power of (7)
a A LaTex expression showing 3 + P = P sub 0 times (1 - r) to the power of ( t)
b A LaTex expression showing 3 + P = P sub 0 over (1 + r) to the power of ( t)
c A LaTex expression showing 0 + P = P sub 0 times (1 - r) to the power of ( t)
d A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t)
4
Solve for the final cash given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing P =700 times (1+0.02) to the power of (8)
a A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t)
b A LaTex expression showing 3 + P = P sub 0 times (1 - r) to the power of ( t)
c A LaTex expression showing 8 + P = P sub 0 times (1 - r) to the power of ( t)
d A LaTex expression showing 1 + P = P sub 0 over (1 + r) to the power of ( t)
5
Solve for the final cash given this model of a quarterly compounding growth of money in a savings account?
A LaTex expression showing P =600 times (1+0.08) to the power of (4)
a A LaTex expression showing 9 + P = P sub 0 times (1 - r) to the power of ( t)
b A LaTex expression showing 2 + P = P sub 0 times (1 - r) to the power of ( t)
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t)
d A LaTex expression showing 1 + P = P sub 0 times (1 - r) to the power of ( t)
6
Solve for the final population given this model of a growth of an insect population that breeds once per year?
A LaTex expression showing P =900 times (1+0.03) to the power of (2)
a A LaTex expression showing 5 + P = P sub 0 times (1 - r) to the power of ( t)
b A LaTex expression showing 4 + P = P sub 0 times (1 - r) to the power of ( t)
c A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t)
d A LaTex expression showing 8 + P = P sub 0 times (1 - r) to the power of ( t)
7
Solve for the final population given this model of a growth of a rabbit population (yearly breeding cycle)?
A LaTex expression showing P =900 times (1+0.08) to the power of (7)
a A LaTex expression showing 7 + P = P sub 0 times (1 - r) to the power of ( t)
b A LaTex expression showing P = P sub 0 times (1 + r) to the power of ( t)
c A LaTex expression showing 3 + P = P sub 0 over (1 + r) to the power of ( t)
d A LaTex expression showing 5 + P = P sub 0 times (1 - r) to the power of ( t)
8
Solve for the final debt given this model of a growth in credit card debt with yearly interest?
A LaTex expression showing D =200 times (1+0.06) to the power of (8)
a A LaTex expression showing 0 + D = D sub 0 times (1 - r) to the power of ( t)
b A LaTex expression showing 4 + D = D sub 0 over (1 + r) to the power of ( t)
c A LaTex expression showing 2 + D = D sub 0 times (1 - r) to the power of ( t)
d A LaTex expression showing D = D sub 0 times (1 + r) to the power of ( t)