To rent a carpet cleaner, Tools To Go
charges $15.00 for the first hour or part of
an hour plus $3.50 for each additional half
hour or part of a half hour.
a) Tim picked up a carpet cleaner at
8:10 a.m. and returned it at 4:10 p.m.
Determine his rental charge.
b) Calculate the average cost per hour for
Tim’s rental.
c) Charmaine rented a carpet cleaner from
Carpet Emporium. Her bill was $59.40
for 5.5 h. Compare the average cost per
hour for Charmaine’s rental with the
average cost per hour for Tim’s rental.
How many times as much was
Charmaine’s rental?

Question

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Respuesta :

wifilethbridge wifilethbridge · Answer 1 · 2020-10-23T14:39:15+02:00

Answer:

A) His rental charge is $64

B)The average cost per hour for Tim’s rental is 8 dollar/hour

C) Charmaine’s average cost is 1.35 times Tim's average cost

Step-by-step explanation:

Rent for first hour of carpet cleaner = $15

Rent for each additional half hour carpet cleaner = $3.50

a)Tim picked up a carpet cleaner at 8:10 a.m. and returned it at 4:10 p.m.

Total time = 8 hours

So, Rent for first hour of carpet cleaner = $15

Now no. of half an hours in remaining 7 hours is 14

So, Rent for each additional half hour carpet cleaner = $3.50

Rent for 14 additional half hour carpet cleaner = [tex]3.50 \times 14 =49[/tex]

So, Total rental charge = 49+15 = 64

Hence his rental charge is $64

b)Calculate the average cost per hour for Tim’s rental.

Average cost =[tex]\frac{\text{Total cost}}{\text{Total hours}}=\frac{64}{8}=8 dollar/ hour[/tex]

c)Charmaine rented a carpet cleaner from Carpet Emporium. Her bill was $59.40 for 5.5 h.

Average cost =[tex]\frac{\text{Total cost}}{\text{Total hours}}=\frac{59.4}{5.5}=10.8 dollar/ hour[/tex]

Let Tim’s rental be x times as much was Charmaine’s rental

So,8x=10.8

[tex]x=\frac{10.8}{8}[/tex]

x=1.35

So, Charmaine’s average cost is 1.35 times Tim's average cost