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

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 Rate Worksheet

Exponential Function Solving - Growth (Continuous, Mis-matched Time U...

Solve for the rate given this model of a continuously compounding growth of app downloads?

A LaTex expression showing 994 =900 times e to the power of (r times 2 over 7 )

a $A LaTex expression showing r = +e to the power of \frac{A over A sub 0 }{t over 7 }$

b $A LaTex expression showing r = +\ln{\frac{A over A sub 0 }}{t over 7 }$

c $A LaTex expression showing r = +\ln{\frac{A sub 0 over A }}{t times 7}$

Solve for the rate given this model of a growth of debt on a credit card with continuous compounding?

A LaTex expression showing 375 =200 times e to the power of (r times 7 over 3 )

a $A LaTex expression showing r = +\ln{\frac{D over D sub 0 }}{t over 3 }$

b $A LaTex expression showing r = +e to the power of \frac{D over D sub 0 }{t over 3 }$

c $A LaTex expression showing r = +\ln{\frac{D sub 0 over D }}{t times 3}$

Solve for the rate given this model of a continuously compounding growth of app downloads?

A LaTex expression showing 1,045 =900 times e to the power of (r times 5 times 7)

a $A LaTex expression showing r = +e to the power of \frac{A over A sub 0 }{t times 7}$

b $A LaTex expression showing r = +\ln{\frac{A over A sub 0 }}{t times 7}$

c $A LaTex expression showing r = +\ln{\frac{A sub 0 over A }}{t over 7 }$

Solve for the rate given this model of a growth of debt on a credit card with continuous compounding?

A LaTex expression showing 851 =600 times e to the power of (r times 5 over 12 )

a $A LaTex expression showing r = +\ln{\frac{D over D sub 0 }}{t over 12 }$

b $A LaTex expression showing r = +\ln{\frac{D sub 0 over D }}{t times 12}$

c $A LaTex expression showing r = +e to the power of \frac{D over D sub 0 }{t over 12 }$

Solve for the rate given this model of a continuous exponential growth of social media post views?

A LaTex expression showing 1,239 =900 times e to the power of (r times 8 over 365 )

a $A LaTex expression showing r = +\ln{\frac{V over V sub 0 }}{t over 365 }$

b $A LaTex expression showing r = +e to the power of \frac{V over V sub 0 }{t over 365 }$

c $A LaTex expression showing r = +\ln{\frac{V sub 0 over V }}{t times 365}$

Solve for the rate given this model of a continuously compounding growth of app downloads?

A LaTex expression showing 464 =400 times e to the power of (r times 3 over 365 )

a $A LaTex expression showing r = +\ln{\frac{A sub 0 over A }}{t times 365}$

b $A LaTex expression showing r = +\ln{\frac{A over A sub 0 }}{t over 365 }$

c $A LaTex expression showing r = +e to the power of \frac{A over A sub 0 }{t over 365 }$

Solve for the rate given this model of a continuously compounding growth of money in a savings account?

A LaTex expression showing 821 =400 times e to the power of (r times 8 over 4 )

a $A LaTex expression showing r = +\ln{\frac{P sub 0 over P }}{t times 4}$

b $A LaTex expression showing r = +e to the power of \frac{P over P sub 0 }{t over 4 }$

c $A LaTex expression showing r = +\ln{\frac{P over P sub 0 }}{t over 4 }$

Solve for the rate given this model of a growth of debt on a credit card with continuous compounding?

A LaTex expression showing 955 =900 times e to the power of (r times 3 times 4)

a $A LaTex expression showing r = +\ln{\frac{D over D sub 0 }}{t times 4}$

b $A LaTex expression showing r = +e to the power of \frac{D over D sub 0 }{t times 4}$

c $A LaTex expression showing r = +\ln{\frac{D sub 0 over D }}{t over 4 }$