Question 189887
Let {{{A}}}= the cost of renting car from agency A
Let {{{B}}}= the cost of renting car from agency B
Let {{{m}}}= miles driven
Let {{{d}}}= number of days rented
Given:
(1) {{{A = .2m + 40d}}}
(2) {{{B = .16m + 51d}}}
{{{d = 4}}} days
------------------------
(1) {{{A = .2m + 40*4}}}
(1) {{{A = .2m + 160}}}
and
(2) {{{B = .16m + 51*4}}}
(2) {{{B = .16m + 204}}}
How many miles would Adam have to drive to make 
car rental agency B a better bargain?
At what milage are the costs the same? (A = B)
{{{.2m + 160 = .16m + 204}}}
{{{.04m = 44}}}
{{{m = 1100}}} mi
If he drives more than 1100 miles, B is a better bargain
check:
Find A and B for {{{m = 1099}}} mi
Find A and B for {{{m = 1101}}} mi