Question

Bob’s Boat Rentals charges a flat fee of $80 plus $5/h to rent a boat. Larry’s Boat Rentals charges $15/h with no flat fee. The system that models this situation is given, where c is the cost of renting a boat and h is the number of hours a boat is rented. The solution to the system is (8, 120).

What is the correct interpretation of the solution of this system?


c=80+5h
c=15h

Answer 1

A.
The cost to rent a boat is the same with both boat rental companies if you rent a boat for 8 h. Both companies will charge $120.

B.
The cost to rent a boat is the same with both boat rental companies if you rent a boat for 120 h. Both companies will charge $15.

C.
Bob’s Boat Rental will charge $120 for a rental of 8 hours.

D.
Bob’s Boat Rental will charge less money on the fifth day, charging $140.

Answer 2

@mathmate

Answer 3

You have two equations representing the charges c related to h hours.
Can you tell me what the solution means to you?

Answer 4

Solution = Answer

Answer 5

C (bob) = (flat fee) + (rate)*(hours)
C (larry) = (rate)*(hours)

Answer 6

Good, so far.

Answer 7

Here's a graphical representation of the problem that should be "flashing" in your mind.

Answer 8

Ok proceed

Answer 9

Sorry, it's your turn to proceed, to tell me what is the meaning of the "solution" at (8,120).
Does Larry charge more, or does Bob charge more for the 8 hour rental?

Answer 10

Larry charges more

Answer 11

c=80+h
c=15h

so 80 + h = 15h

Answer 12

subtract 1h from both sides
then divide by 15 :)

Answer 13

then divide by 14

Answer 14

5.8

Answer 15

But after that what do i do

Answer 16

Hmmm...???
C (bob) = (flat fee) + (rate)*(hours) = 80+5*8=?
C (larry) = (rate)*(hours)=15*8 = ?

Answer 17

80+5*8=120

15*8 = 120

Answer 18

So it's A?

Answer 19

Exactly!

Answer 20

Yay thanks so much have a great day!

Answer 21

Note that C is also a true statement, but it is not the "appropriate" interpretation.

Answer 22

I was about to say C to lol

Answer 23

You too! :)

Answer 24

Exactly why I added the comment! :)