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Exponential Function Solving - Growth (Discrete) Equation to Rate

Level 1

This topic focuses on solving exponential growth equations to determine the growth rate. It covers scenarios like the monthly compounding growth of money in a bank, yearly growth of insect populations, and the growth of credit card debt, both annually and monthly. The problems provide a base amount and a final amount, with the task being to find the rate of growth over the given period using exponential function equations. Each question offers multiple potential expressions for the rate.

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 Rate Worksheet

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Exponential Function Solving - Growth (Discrete) Equation to Rate
1
Solve for the rate given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing 1,094 =900 times (1+r) to the power of (5)
a A LaTex expression showing 1 + r = +(P over P sub 0 ) to the power of 1 over t + 1
b A LaTex expression showing 2 + r = +(P over P sub 0 ) to the power of t over 2 - 1
c A LaTex expression showing 8 + r = +(P over P sub 0 ) to the power of t over 2 - 1
d A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t - 1
2
Solve for the rate given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing 422 =300 times (1+r) to the power of (7)
a A LaTex expression showing 6 + r = +(P over P sub 0 ) to the power of 1 over t + 1
b A LaTex expression showing 4 + r = +(P over P sub 0 ) to the power of t over 2 - 1
c A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t - 1
d A LaTex expression showing 1 + r = +(P over P sub 0 ) to the power of 1 over t + 1
3
Solve for the rate given this model of a growth of an insect population that breeds once per year?
A LaTex expression showing 831 =700 times (1+r) to the power of (2)
a A LaTex expression showing 0 + r = +(P over P sub 0 ) to the power of 1 over t + 1
b A LaTex expression showing 7 + r = +(P over P sub 0 ) to the power of t over 2 - 1
c A LaTex expression showing 4 + r = +(P over P sub 0 ) to the power of 1 over t + 1
d A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t - 1
4
Solve for the rate given this model of a growth of a rabbit population (yearly breeding cycle)?
A LaTex expression showing 856 =500 times (1+r) to the power of (7)
a A LaTex expression showing 8 + r = +(P over P sub 0 ) to the power of t over 2 - 1
b A LaTex expression showing 3 + r = +(P over P sub 0 ) to the power of 1 over t + 1
c A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t - 1
d A LaTex expression showing 6 + r = +(P over P sub 0 ) to the power of t over 2 - 1
5
Solve for the rate given this model of a growth in credit card debt with yearly interest?
A LaTex expression showing 655 =500 times (1+r) to the power of (4)
a A LaTex expression showing 3 + r = +(D over D sub 0 ) to the power of t over 2 - 1
b A LaTex expression showing 1 + r = +(D over D sub 0 ) to the power of t over 2 - 1
c A LaTex expression showing r = +(D over D sub 0 ) to the power of 1 over t - 1
d A LaTex expression showing 6 + r = +(D over D sub 0 ) to the power of 1 over t + 1
6
Solve for the rate given this model of a growth in credit card debt with monthly interest?
A LaTex expression showing 583 =500 times (1+r) to the power of (2)
a A LaTex expression showing 4 + r = +(D over D sub 0 ) to the power of 1 over t + 1
b A LaTex expression showing r = +(D over D sub 0 ) to the power of 1 over t - 1
c A LaTex expression showing 4 + r = +(D over D sub 0 ) to the power of t over 2 - 1
d A LaTex expression showing 3 + r = +(D over D sub 0 ) to the power of 1 over t + 1
7
Solve for the rate given this model of a growth of an insect population that breeds once per year?
A LaTex expression showing 1,353 =900 times (1+r) to the power of (7)
a A LaTex expression showing 2 + r = +(P over P sub 0 ) to the power of 1 over t + 1
b A LaTex expression showing 0 + r = +(P over P sub 0 ) to the power of 1 over t + 1
c A LaTex expression showing 5 + r = +(P over P sub 0 ) to the power of 1 over t + 1
d A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t - 1
8
Solve for the rate given this model of a monthly compounding growth of money in a savings account?
A LaTex expression showing 356 =300 times (1+r) to the power of (2)
a A LaTex expression showing 7 + r = +(P over P sub 0 ) to the power of t over 2 - 1
b A LaTex expression showing 9 + r = +(P over P sub 0 ) to the power of 1 over t + 1
c A LaTex expression showing r = +(P over P sub 0 ) to the power of 1 over t - 1
d A LaTex expression showing 2 + r = +(P over P sub 0 ) to the power of t over 2 - 1