members of the wide walters water club pay $105 per summer seosson ,plus $9.50 each time tghey rent the boat. nonmembers must pay $14.75 each time they rent the boat. how many times would a member and a non-member have to rent a boat in order to pay the same amount?
+23254 Let n represent the number of times that the boat is rented.
For members, the amount they pay will be 105.00 + 9.50n.
For non-members, the amount is strictly 14.75n.
Set these equal to each other to find the number of times the boat is rented so that the amount is the same for members and non-members: 105.00 + 9.50n = 14.75n
Simplify: 105.00 = 5.25n
Divide by 5.25: n = 20 times
It is cheaper to be a non-member if you want to use the boat fewer than 20 times; more than 20 times, it is cheaper to be a member.
