Exponential Function Growth (Discrete) - Equation and Scenario to Specific Value

Level 1

This math topic focuses on practicing skills involving exponential function growth in discrete settings. The questions cover solving for various elements in exponential growth equations such as final cash values, time periods, initial amounts, growth rates, and starting conditions. Scenarios include financial growth (savings and debts) and biological growth (rabbit and insect populations), all with either quarterly or monthly compounding or yearly breeding cycles. The problems are structured to determine specific values from formulated exponential growth equations.

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

more

Exponential Function Growth (Discrete) - Equation and Scenario to Specific Value Worksheet

Mobius Math Academy logo
Exponential Function Growth (Discrete) - Equation and Scenario to Spe...
1
What is the final cash in this equation for a quarterly compounding growth of money in a savings account?
A LaTex expression showing 886 =700 times (1+0.04) to the power of (6)
a A LaTex expression showing P = 6
b A LaTex expression showing P = 886
c A LaTex expression showing P = 700
2
What is the time in this equation for a monthly compounding growth of money in a savings account?
A LaTex expression showing 591 =400 times (1+0.05) to the power of (8)
a A LaTex expression showing t = 8
b A LaTex expression showing t = 400
3
What is the time in this equation for a quarterly compounding growth of money in a savings account?
A LaTex expression showing 914 =500 times (1+0.09) to the power of (7)
a A LaTex expression showing t = 7
b A LaTex expression showing t = 914
c A LaTex expression showing t = 500
4
What is the starting debt in this equation for a growth in credit card debt with monthly interest?
A LaTex expression showing 598 =500 times (1+0.02) to the power of (9)
a A LaTex expression showing D sub 0 = 2
b A LaTex expression showing D sub 0 = 9
c A LaTex expression showing D sub 0 = 500
5
What is the rate in this equation for a growth of a rabbit population (yearly breeding cycle)?
A LaTex expression showing 238 =200 times (1+0.06) to the power of (3)
a A LaTex expression showing r = 238\%
b A LaTex expression showing r = 200\%
c A LaTex expression showing r = 6\%
6
What is the time in this equation for a growth of an insect population that breeds once per year?
A LaTex expression showing 476 =400 times (1+0.06) to the power of (3)
a A LaTex expression showing t = 400
b A LaTex expression showing t = 3
7
What is the starting population in this equation for a growth of an insect population that breeds once per year?
A LaTex expression showing 735 =400 times (1+0.07) to the power of (9)
a A LaTex expression showing P sub 0 = 735
b A LaTex expression showing P sub 0 = 400
c A LaTex expression showing P sub 0 = 9
8
What is the starting population in this equation for a growth of an insect population that breeds once per year?
A LaTex expression showing 600 =300 times (1+0.08) to the power of (9)
a A LaTex expression showing P sub 0 = 9
b A LaTex expression showing P sub 0 = 599
c A LaTex expression showing P sub 0 = 300