### Home > PC3 > Chapter 7 > Lesson 7.2.3 > Problem7-106

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?

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

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

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