Question

You plan to rent a car for your road trip. If you will be gone for 5 days and plan to drive 650 miles, which of these is the better deal? Explain your answer.
Company A: $20 per day; unlimited mileage
Company B: $15 per day; $0.20 per mile driven

Answer 1

@jdoe0001

Answer 2

You need to calculate the TOTAL cost of renting the car for 5 days, 650 miles.
Each rental company charges you a daily rate, PLUS a per-mile rate.
You need to develop an equation for each of the 2 companies. It must be in dollars.

Answer 3

Note that one of the 2 companies does NOT charge a per-mile fee.

You can still develop a separate equation for both companies.

Substitute 5 for the number of days and 650 for the total number of miles driven.

Answer 4

Company A: $20 per day; unlimited mileage. this is the company that does not charge a per-mile fee. How much would Company A charge for a 5-day rental?

Answer 5

well, let's see both plans
\(\bf \begin{array}{llllll}
&days&mileage&cost
\\\hline\\
\textit{plan A}&{\color{brown}{ 5}}& {\color{blue}{ 650}}&20\cdot {\color{brown}{ 5}}&\impliedby \textit{unlimited mileag}\\
\textit{plan B}&{\color{brown}{ 5}}&{\color{blue}{ 650}}&(15\cdot {\color{brown}{ 5}})+(0.20\cdot {\color{blue}{ 650}})&\impliedby \textit{0.20 per mile}
\end{array}\)

Answer 6

jdoe: could you please help Tyler do his own work, instead of doing it for him? Thank you. mathmale, Moderator

Answer 7

Company B: $15 per day; $0.20 per mile driven.

Based upon this, how much would Company B charge for a 5 day rental, if we look at the per-day rate only? Tyler?

Answer 8

hmmm

Answer 9

roger that
didn't know.... thought he was....alrite
roger that :)

Answer 10

$75 Mathmale.

Answer 11

I did $15*5

Answer 12

Thank you!

Tyler: Great. Yes, Company B would charge $75 for 5 days. Right. Great!

Now, how much does Company B charge per mile?

Answer 13

And what would i do to figure that out sir?

Answer 14

Sir Tyler, that info is contained in the original problem statement:
"Company B: $15 per day; $0.20 per mile driven."

Answer 15

$0.20?

Answer 16

This renter drives 650 miles, and the cost per mile is 20 cents, or $0.20.

Right: $0.20 is what the renter pays per mile.
But how much must he pay, TOTAL, for driving the rented car 650 miles?

Answer 17

(cost per mile) * (number of miles) = total mileage charge. Multiply.

Answer 18

$130

Answer 19

Perfect.

Company B charges $75 for the 5-day rental, plus $130 for the 650 miles driven.
Add these together to get the total cost payable to Company B.

Answer 20

$130
+ 75
-----
?

Answer 21

$205

Answer 22

Right. Good. How much would Company A charge? We figured this out earlier; all you have to do is to find it.

Answer 23

Tyler?

Answer 24

Im figureing it out lol

Answer 25

You've already figured it out; you just need to find the result, above.

Answer 26

$650?

Answer 27

No, that's the number of miles driven.

Look at the original problem statetment, please. How much does Company A charge per day? How much would 5 day rental cost?

Answer 28

$100 for 5 days?
And $20 per day

Answer 29

Yes, company A charges $100

Answer 30

So company A is the best deal.

Answer 31

for 5 days.
Company B charges $205.

which company gets this guy's business? Yes, like you, I'd choose Company A.
Done. Not too bad a problem, eh?

Answer 32

No u made me understand it more better.

Answer 33

Delighted to hear that!
Take care.