Each time a theater group performs, the director hopes that five more audience members will attend. Seventeen people attended the first performance. How many au

Question

Each time a theater group performs, the director hopes that five more audience members will attend. Seventeen people attended the first performance. How many audience members does the director expect to attend at the ninth performance?

Answer 1

Hi Uriah,

 

If 17 people attend the first performance and the director hopes for 5 additional people at each performance, the following will represent the number in attendance at each performance.

 

a(x) = 17 + 5(x-1)

 

a(x) = number of people in attendance at the performance

x = performance number

 

 

a(9) = 17 + 5(9-1)

a(9) = 17+40 = 57