Be Tanned! is a tanning spa that offers three options for tanning. With Option A, members pay a $35 membership fee per month and $12 per

tanning session. With Option B, members pay $115 per month for unlimited

tanning sessions. With Option C, members pay $1,200 per year for unlimited monthly tanning sessions.

Part A: Write a system of equations that represents the monthly rate for the

three options, where x represents the number of tanning sessions

attended each month.

Part B: Write a reasonable domain for each equation in the system.

Part C: Suppose you are a representative working at Be Tanned! and your

job is to sell memberships and advise your clients on the products

and services that you offer. Under which circumstances would

Option B be less expensive to purchase than Option A and Option

C? When would you recommend Option A and Option C?