CPM Homework Help : PC3 Problem 7-106

As Taylor’s reputation as a comedic genius increases he is able to charge more for his act. Currently his fee is $\$125$ for a $20$ -minute show. Every time he has finished $5$ shows he is able to increase his fee by $10\%$ . How many shows must Taylor perform before he can charge over $\$400$ per show?

Step 1:

Write an equation for this situation.
This is exponential growth.
The initial value is $\$125$ .
The multiplier is $1.1$ for every fifth show.

Step 2:

Solve $400=125(1.1)^{x/5}$ .

Hint:

Your answer should be a multiple of $5$ to fit the given conditions.