# Math

posted by .

A car rental agency charges \$120 per week plus \$.12 per mile driven. How many miles did you drive if the total charge is \$162?

• Math -

Let's make a math sentence about how much the car company charges.

Flat Rate: \$120 per week = \$120 * W
Additional Fees: \$0.12 per mile = \$0.12 * M
Charge = Flat Rate + Additional Fees

Now let's plug in what we know:
\$162 = \$120(W) + \$0.12(M)

Here's where I run into a problem. I don't know how many weeks we had this car. I know it must be below 1 week because 2 weeks would = \$240 but what if the person had it for a 1/2 week or maybe 1 day. There are too many options. I'm assuming that this person had the car for 1 week:

\$162 = \$120(1) + \$0.12(M)
\$162 = \$120 + \$0.12(M)
\$162 - \$120 = \$0.12(M)
\$42 = \$0.12(M)
\$42/\$0.12 = M
350 = M

Therefore, we drove 350 miles.

## Similar Questions

1. ### algebra 2

A rental car agency charges \$13 per day plus 12 cents per mile to rent a certain car. Another agency charges \$18 per day plus 8 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car …
2. ### Algebra

The XYZ Car Rental Agency charges a flat rate of \$29 per day plus \$.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.
3. ### math

Car rental agency A charges \$50 per day plus 10 cents per mile driven. Agency B charges \$20 per day plus 30 cents per mile driven. For a one-day rental it is cheaper to rent from agency A if you drive more than?
4. ### math

Car rental agency A charges \$50 per day plus 10 cents per mile driven. Agency B charges \$20 per day plus 30 cents per mile driven. For a one-day rental it is cheaper to rent from agency A if you drive more than?
5. ### Problem solving

A rental car agency charges \$15 per day plus \$.11 per mile to rent a certain car. Another agency charges \$18 per day plus 8 cents per mile to rent the same car. If they rent the car for one day how many miles will they have to be driven …
6. ### Problem solving

A rental car agency charges \$15 per day plus \$.11 per mile to rent a certain car. Another agency charges \$18 per day plus 8 cents per mile to rent the same car. If they rent the car for one day how many miles will they have to be driven …
7. ### Math

A rental car agency charges \$15 per day plus \$.11 per mile to rent a certain car. Another agency charges \$18 per day plus 8 cents per mile to rent the same car. If they rent the car for one day how many miles will they have to be driven …
8. ### Math

Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area are shown below. Each company charges an initial fee for renting the truck, plus an additional amount per …
9. ### Math

Homework Help: Math Posted by Blob on Sunday, November 13, 2016 at 1:23pm. Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area are shown below. Each company …
10. ### Math

Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area are shown below. Each company charges an initial fee for renting the truck, plus an additional amount per …

More Similar Questions