A local sports centre charges $8 per visit. For an annual membership fee of$45, the cost per visit i

A local sports centre charges $8 per visit. For an annual membership fee of$45, the cost per visit is only $5.50. What is the least number of visits needed in a year in order for the membership to be a better deal?

Set up the cost for the visitors plan C(v) where v is the number of visits:
C(v) = 8v

Set up the cost for the membership plan C(v) where v is the number of visits:
C(v) = 5v + 45

The problem asks for v where:
5v + 45 < 8v

Type this inequality into our search engine and get:
v > 15

This means, the least number of visits is 1 more which is 16