Last year Sports Time Athletic Club charged 20$ to participate in an aerobics class. 70 people attended the classes. The club wants to increase the class prices this year. They expect to lose one customer for each 1$ increase in price. What price should they charge to maximize the income from the aerobics class? What is the maximum income they can expect to make? Also find an equation to model a graph.

Last year Sports Time Athletic Club charged 20$ to participate in an aerobics class. 70 people attended the classes. The club wants to increase the class prices this year. They expect to lose one customer for each 1$ increase in price. What price should they charge to maximize the income from the aerobics class? What is the maximum income they can expect to make? Also find an equation to model a graph.