Question

.Ray's Rental Car Company charges a $50 rental fee, $15 for gas and $0.25 per mile driven. For the same car, Rosie's Rental Car Company charges $40

for rental and gas and $0.35 per mile driven. At what mile do the companies charge the same amount?

Answer 1

Answer: 166.667 miles

Explanation:

For the first company, the cost can represented by the equation: y=0.25m +50+15

Which is the same as y=0.25m +65

For the second company, the cost can represented by the equation:0.35m+40

m is the miles driven

To find at after how many miles they cost the same, I will set both equations equal to each other to solve for m

0.25m+65=0.35m+40

-0.25m -0.25m

65=0.15m+40

-40 -40

25=0.15m. Divide both sides by 0.15

166.667=m

So after 166.667 miles, the companies charge the same.

You can also round it again: 166.67 or 166.7 or 167