Question

At smith mountain lake boat rentals, it costs $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. Write in slope intercept form.

Answer 1

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39