A car rental agency charges $150 per week plus $0.25 per mile to rent a car. The total cost, C, for the renting the car for one week and driving it x miles can be modeled by the formula . How many miles can you travel in one week for $175?

Question

destinyyyy · Answer

I got 193.75 but its wrong..

destinyyyy · Answer

I plugged 175 in for x.. Was that wrong?

defiance · Answer

Hi.

defiance · Answer

First, lets only use our vial information.

destinyyyy · Answer

What? Vial?

defiance · Answer

We have $175.
We automatically lose $150.
Cause we rented for 1 week.
We have $25 to drive with.
Every mile we drive, it costs $0.25

defiance · Answer

Vial as important.

destinyyyy · Answer

Um okay.

defiance · Answer

Hold on. 
$$$175 - $150 = $25$$
$$$25 \div $0.25 = 100$$

defiance · Answer

We can drive 100 miles in 1 week.

destinyyyy · Answer

Okay. So I should have ignored the formula it gave?

defiance · Answer

Whats the formula?

destinyyyy · Answer

Oh gosh it didnt copy it... 

A car rental agency charges $150 per week plus $0.25 per mile to rent a car. The total cost, C, for the renting the car for one week and driving it x miles can be modeled by the formula C=0.25x+150 . How many miles can you travel in one week for $175?

defiance · Answer

Its basiclly what I said. Just righten in another way.

defiance · Answer

C is our total cost. Which was given to us at the end "$175".

defiance · Answer

So rewright it and make it look like an equation 0.25x + 150 = 175

defiance · Answer

Since we already solved it we know x = 100.

defiance · Answer

0.25(100) + 150 = 175

defiance · Answer

Which makes 25 + 150 = 175

defiance · Answer

x is still 100. Either way you solve it.

destinyyyy · Answer

Okay I see where i messed up. Thanks.

defiance · Answer

You're welcome!