Question

The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $97.15. A van that is driven 127 miles costs $106.15. What is the flat rental fee? help please! PLEASEEE! :p

Answer 1

The flat rate rental fee is $49.00
Do you want to see the steps taken to obtain this solution?

Answer 2

yes please (: and thank you sooo much for helping me!! i really thankn you!

Answer 3

Let F be the flat rate.
Let x be the mileage rate.
The two equations for the given information would be:
F+107x=97.15 and
F+127x=106.15

Do you follow this line of reasoning?

Answer 4

YES! (: thank YOUUUUUUUUUUUUU so much!

Answer 5

Can you take it from there, or do you want me to continue?

Answer 6

if you wannna continue you can, but you dont have to (:

Answer 7

I will continue, you may do it different, but I did the following. Take each equation and isolate F.
F=97.15-107x
F=106.15-127x
we know that F=F so we can write:
97.15-107x=106.15-127x Consolidating terms using algebra
-107x+127x=106.15-97.15
20x=9.00
x=.45 or 45 cents per mile
F=97.15-(107 * .45)
F=97.15-48.15
F=$49.00

Did you get the same?

Answer 8

yes! thank you SO much (:

Answer 9

No problem, good day.