Q:

At smith mountain lake boat rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengel family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am - 1 pm, how much did they pay?

Accepted Solution

A:
Answer:The Jones family paid $164Step-by-step explanation:At smith mountain boat lake boat rentals, it cost $25 per hour to rent a platoon boat plus a one time charge for cleaning . The Bengel family rented the boat from 11 am - 6:30 pm and their total charge was $226.50.  The boat cost  $25 per hour  plus a one time charge for cleaning.let one time charge = anumber of hours anyone rent the boat = btotal charge for the boat rent = a + 25bIn the case of Bengel they rented the boat from 11 am - 6:30 pm which is 7 and 1/2 hours = 7.5 Their total charge = $226.50where b = 7.5 226.50 = a + 25(7.5)226.50 = a + 187.5a = 226.50 - 187.50a = $39The one time charge for the boat is $39.Jones family rentJones family rented the boat from  8 am - 1 pm, the number of hours they used is 5 hours . total charge = 39 + 25(5)total charge = 39 + 125total charge = $164The Jones family paid $164