Question

A car rental company charges $34 for every day for a rented car and $1 per mile driven. A second car rental

company charges $20 for every day and $3 per mile driven. What is the number of miles at which both companies
charge the same amount for one-day rental?
07 milles
O27 milles
O 14 milles
09 miles

Answer 1

7 miles

Explanation:

We can make 2 equations to represent this with y be the total and x will be miles

`y=x+34\\\\y=3x+20`

Since both equations equal y we can set them equal to each other

`x+34=3x+20`

Subtract x from both sides

`34=2x+20`

subtract 20 from both sides

`14=2x`

Divide 2 from both sides

`7=x`

7 miles is the answer

I hope this helps please let me know if you have questions