Question

Option 1: $30 an hour plus a non-refundable deposit of $50.

Option 2: $20 an hour plus a non-refundable deposit of $75.

Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1?

Answer 1

Explanation:

Lets frame equation for each option

x be the number of hours

Option 1: $30 an hour plus a non-refundable deposit of $50.

y= 30x+50

For 1 hour, rent is 30(1) + 50 = 80

For 2 hours , rent is 30(2) + 50 = 110

for 3 hours , rent is 30(3) + 50 = 140

for 4 hours , rent is 30(4) + 50 = 160

Option 2: $20 an hour plus a non-refundable deposit of $75.

y=20x+ 50

For 1 hour, rent is 20(1) + 75 = 95

For 2 hours , rent is 20(2) + 75 = 115

for 3 hours , rent is 20(3) + 75 = 135

for 4 hours , rent is 20(4) + 75 = 155

For the first two hours , the rent of option 2 is more than the rent of option 1

From 3 hours, option 2 will be better deal than option 1

Answer 2

he must rent the jetski for three hours, because there are 25 more dollars at the start for option one, and you need to outweigh that with the ten dollars from option 2.