Question

dan will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $73.98 and costs an additional $0.07 per mile driven. the second plan has an initial fee of $0.12 per mile driven. how many miles for the two plans to cost the same?

Answer 1

1479.6 miles

Explanation:

First plan has an initial fee of $73.98 and an additional $0.07 per mile, while the second plan has a cost of $0.12 per mile.

The total cost in first plan can be modeled linearly in number of miles as
`C_(1)(x)=73.98+0.07x`.

The total cost in second plan can be modeled linearly in number of miles as
`C_(2)(x)=0.12x`

For both the plans to cost the same,
`C_(1)(x)=C_(2)(x)`

`73.98+0.07x=0.12x`

`73.98=0.05x`

`x=1479.6` miles

∴ On travelling 1479.6 miles, both the plans cost the same.