Question

a rental car agency charges $25 per day plust .15 cents per mile to rent car. A second rental car company charges $35 per day plus 10 cents per mile to rent car. how many miles will have to be driven for the first agency to be the same as the second?

Answer 1

`At\ 200\ miles\ cost\ of\ two\ agencies\ will\ be\ same.`

Explanation:

`Let\ at\ x\ miles\ the\ cost\ of\ two\ agencies\ are\ same.`

Cost of first agency:

Per day charges
`=\$ 25`

Cost for x miles
`=0.15* total\ miles=0.15* x=0.15x`

Total cost of first agency
`=25+0.15x`

Cost of second agency:

Per day charges
`=$35`

Cost for
`x\ miles=0.10* x=0.10x`

Total cost of second agency
`=35+0.10x`

When two costs are equal

`25+0.15x=35+0.10x\\\\0.15x-0.10x=35-25\\\\0.05x=10\\\\x=(10)/(0.05)\\\\x=200\ miles`