Question

Billy's Boat Rental Company charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa's Boat Rental Company 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 the cost to be the same amount at both rental companies?

Answer 1

Explanation:

we can proceed to model the cost of Billy's Boat Rental Company

let y be the cost

let x be the number of rentals

y=105+9.5x----1

Also, the cost of Billy's Boat Rental Company

y=14.75------2

the question is "How many times does a person have to rent a boat for the cost to be the same amount at both rental companies"

we have to equate the two cost and solve for x

105+9.5x=14.75

105-14.75+9.5x=0

90.25+9.5x=0

9.5x=-90.25

divide both sides by 9.5 we have

x=-90.25/9.5

x=9.5

Approximately 10 times