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Home > PC3 > Chapter 7 > Lesson 7.2.3 > 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? 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.