Rental car agency charge:
Let's assume number of miles in as week as x miles
and total rent as R(x)
A rental car agency charges $240 per week plus $0.25 per mile to rent a car
so, we get equation as
[tex]R(x)=240+0.25x[/tex]
Minivan charge:
Let's assume number of miles in as week as 'x' hours
and total charge of minivan as M(x)
The charge for a minivan is $180 per week plus $0.40 per mile
so, we get
[tex]M(x)=180+0.40x[/tex]
now, we can set them equal
and then we can solve for x
[tex]240+0.25x=180+0.40x[/tex]
Subtract both sides by 0.25x
[tex]240+0.25x-0.25x=180+0.40x-0.25x[/tex]
[tex]240=180+0.15x[/tex]
Subtract both sides by 180
[tex]240-180=180+0.15x-180[/tex]
[tex]60=0.15x[/tex]
divide both sides by 0.15
and we get
[tex]x=400 miles/tex]............Answer
