Question

while visiting Crimson Lake, Sally decided to go kayaking. The Ranger charge eight dollars and 50 Cent per hour in addition to a Ranger charge $8.50 per hour in addition to $25.00 Deposit to rent the kayak. If she rented the kayak from 11:30 a.m. to 2:39 p.m., write and solve a linear equation to find the total cost to rent the kayak

Answer 1

Per hour charge of the kayak = $ 8.50

Rent deposit for kayak = $ 25

Let the number of hours the kayak has been used/rented be represented by = h

Let the rent be represented by = r

Let the total cost be represented by = c

So linear equation becomes:

`c=r+8.50h`

Now, Sally rented the kayak from 11.30 am to 2.39 pm. This is 3 hours and 9 minutes.

We will convert 9 minutes in hours.

1 minute =
`(1)/(60)` hours

9 minutes =
`(9)/(60)=0.15` hours

So total hours become = 3+0.15 = 3.15 hours

So, according to the linear equation, the cost becomes:

`c=25+8.50(3.15)`

=
`25+26.775` =51.775 or rounding to 2 digits we get 51.78

Hence, the total cost to rent the kayak is $51.78