Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $53.98 for two days plus 13 cents per mile. The second plan costs $45.98 for two days plus 18 cents per mile. How many miles does Bob need to drive for the two plans to cost the same?
2007-11-01 16:15:13 · 13 answers · asked by Ash 2 in Science & Mathematics ➔ Mathematics
set up two equations
a) y=.13x + 53.98
b) y=.18x+45.98
then subtract a from b, you need to find the intersections.
y-y= .18x - .13x +45.98 - 53.98
0= .05x - 8
.05x= 8
x = 160
In the equation x is the number of miles, so the answer is 160 miles.
2007-11-01 16:21:49 · answer #1 · answered by George23 3 · 0⤊ 2⤋
Bob must drive 160 miles for the plans to cost the same.
99 miles for the second plan and 14 miles for the first plan have equal prices of $109.78
2007-11-02 01:44:50 · answer #2 · answered by xoxoxo 3 · 0⤊ 1⤋
Since the two day cost of the second plan is $8.00 less than that of the first, but the per mile cost of the second plan is 5 cents more than the first, he can drive an extra 160 miles (160 * .05 = 8.00) on the second plan before it equals the cost of the first plan
2007-11-01 23:24:01 · answer #3 · answered by rob 6 · 0⤊ 2⤋
Set them eqaul to each other
let x = how many miles
53.98 + .13x = 45.98 + .18x
8 + .13x = .18x
8 = .05x
x = 160 miles
2007-11-01 23:21:26 · answer #4 · answered by Brad K 2 · 0⤊ 1⤋
2(53.98) + 13(x) = 2(45.98) + 18(x)
2(53.98) - 2(45.98) = 18x - 13x
107.96 - 91.96 = 5x
16/5 = x
x = 3.2 miles
2007-11-01 23:22:55 · answer #5 · answered by gameshot 1 · 0⤊ 2⤋
if he borrows a friend's car, or drives his own, he saves the cost of the rental. He still pays for gas in any case.
2007-11-01 23:18:30 · answer #6 · answered by Mike 7 · 1⤊ 1⤋
13x + 5398 = 18x + 4598
5x = 800
x = 160 miles
2007-11-01 23:22:33 · answer #7 · answered by pinhead 4 · 0⤊ 2⤋
is it multiple choice? if it is put... 104. lol, i dont know, its effing homework, guess and your teacher will help you tomorrow. its not a hard problem just takes more work than the average person wants to do.
2007-11-01 23:19:33 · answer #8 · answered by Anonymous · 0⤊ 2⤋
i can tell u wat 2 do.. u add 45.98 till u get one that equals a # you added up with the other one
2007-11-01 23:21:45 · answer #9 · answered by Anonymous · 0⤊ 2⤋
oh thats easy, just do the math
2007-11-01 23:18:07 · answer #10 · answered by Anonymous · 0⤊ 2⤋