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

Level 1

This math topic revolves around understanding and applying the principles of continuous exponential growth. The questions are designed to calculate and analyze specific variables (rate, final value, and time) in different real-life scenarios, such as population growth of bacteria or rabbits, debt growth on credit cards, and share price increments. These problems help to practice setting up and solving exponential equations using given values to determine unknown quantities that describe diverse phenomena modeled by exponential growth.

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

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

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Exponential Function Growth (Continuous) - Equation and Scenario to S...
1
What is the rate in this equation for a continuous growth of a bacteria population?
A LaTex expression showing 758 =700 times e to the power of (0.04 times 2)
a A LaTex expression showing r = 700\%
b A LaTex expression showing r = 758\%
c A LaTex expression showing r = 4\%
2
What is the final debt in this equation for a growth of debt on a credit card with continuous compounding?
A LaTex expression showing 1,255 =800 times e to the power of (0.09 times 5)
a A LaTex expression showing D = 5
b A LaTex expression showing D = 1,255
c A LaTex expression showing D = 9
d A LaTex expression showing D = 800
3
What is the final population in this equation for a continuous growth of a rabbit population?
A LaTex expression showing 1,438 =700 times e to the power of (0.09 times 8)
a A LaTex expression showing P = 1,438
b A LaTex expression showing P = 700
c A LaTex expression showing P = 8
d A LaTex expression showing P = 9
4
What is the rate in this equation for a continuously compounding growth of a share price?
A LaTex expression showing 225 =200 times e to the power of (0.03 times 4)
a A LaTex expression showing r = 200\%
b A LaTex expression showing r = 3\%
5
What is the time in this equation for a continuous exponential growth of social media post views?
A LaTex expression showing 1,343 =900 times e to the power of (0.08 times 5)
a A LaTex expression showing t = 900
b A LaTex expression showing t = 5
c A LaTex expression showing t = 1342
6
What is the time in this equation for a growth of debt on a credit card with continuous compounding?
A LaTex expression showing 254 =200 times e to the power of (0.06 times 4)
a A LaTex expression showing t = 4
b A LaTex expression showing t = 254
c A LaTex expression showing t = 200
7
What is the final population in this equation for a continuous growth of a rabbit population?
A LaTex expression showing 1,056 =900 times e to the power of (0.02 times 8)
a A LaTex expression showing P = 900
b A LaTex expression showing P = 8
c A LaTex expression showing P = 1,056
d A LaTex expression showing P = 2
8
What is the time in this equation for a continuously compounding growth of money in a savings account?
A LaTex expression showing 902 =800 times e to the power of (0.03 times 4)
a A LaTex expression showing t = 800
b A LaTex expression showing t = 4
c A LaTex expression showing t = 901