(Modeling) Solve each problem. See Examples 5 and 6 ....

(Modeling) Solve each problem. See Examples 5 and 6 .

Warehouse Club Membership If the annual fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, then the linear equation

y = 100 - 0.02 x

models the actual annual cost of the membership y, in dollars. Here x represents the annual amount of club purchases, also in dollars.

(a) Determine the actual annual cost of the membership if club purchases for the year are $2400.

(b) What amount of club purchases would reduce the actual annual cost of the membership to $50?

(c) How much would a member have to spend in annual club purchases to reduce the annual membership cost to $0?\