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

option 1 equation- 30x+50
Option 2 equation- 20x+75
There is automatically a one time fee of $50 for option 1 and $75 for option 2

1 day:
Option 1- this person pays a total of $80 (because of the one time fee of 50 and 30 per day)
option 2- pays a total of $95 (one time fee of 75 and then an additional 20 per day)

Day 2:
Option 1- $80+$30(daily fee)=$110
Option 2- $95+$20(daily fee)=$115

Day 3:
Option 1- $110+$30=$140
Option 2-$115+$20=$135

They will have to stay a minimum of 3 days for option 2 to be a better deal