Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?

For the cost to be the same the a person have to rent billy's and Lisa's 20 times.

Explanation:

Billy's rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. The total cost can be represented as follows.

where

x =  number of times each member rents a boat

y = total cost

y = 105 + 9.50x

Lisa boat rental does not charge a yearly fee but charges $14.75 every time a member rents a boat.

y = 14.75x

For the cost to be the same

105 + 9.50x = 14.75x

collect like terms

105 = 14.75x - 9.50x

105 = 5.25x

divide both sides by 5.25

x = 105/5.25

x = 20

For the cost to be the same the a person have to rent billy's and Lisa's 20 times.

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