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

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? Homework Help ✎

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.