SOLUTION: Taxi a charges 4.50 plus .18 per mile driven. Taxi b charges 5.10 plus .12 per mile driven. When would taxi a cost less? When would taxi b cost less? When would they cost the same

Algebra ->  Linear-equations -> SOLUTION: Taxi a charges 4.50 plus .18 per mile driven. Taxi b charges 5.10 plus .12 per mile driven. When would taxi a cost less? When would taxi b cost less? When would they cost the same       Log On


   



Question 1025026: Taxi a charges 4.50 plus .18 per mile driven. Taxi b charges 5.10 plus .12 per mile driven. When would taxi a cost less? When would taxi b cost less? When would they cost the same and how much.
Cost = 4.5 + .18x
Cost = 5.10 + .12x
I can't figure out the equation to solve the problem

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The equations look good. Graphing each would make the answers more visual and understandable.

Doing instead all through symbols, you can rename the cost function of each taxi.

system%28A=4.5%2B0.18x%2CB=5.10%2B0.12x%29.


When (or for what x miles) would taxi b cost less? (Inequality for this; not equation)
B%3CA
0.12x%2B5.10%3C0.18x%2B4.5
5.10-4.5%3C0.18x-0.12x
0.6%3C0.06x
0.6%2F0.06%3Cx
10%3Cx---------------Number of miles becomes greater than 10.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
Taxi a charges 4.50 plus .18 per mile driven. Taxi b charges 5.10 plus .12 per mile driven. When would taxi a cost less? When would taxi b cost less? When would they cost the same and how much.
Cost = 4.5 + .18x
Cost = 5.10 + .12x
I can't figure out the equation to solve the problem
Except for the the last question, you don't create equations, but inequalities instead
"a" < "b"
With D being the distance, we get: 4.5 + .18D < 5.1 + .12D
.18D - .12D < 5.1 - 4.5
.06D < .6
D, or distance that'd make "a" cost less than "b" is: D+%3C+.6%2F.06, or highlight_green%28matrix%281%2C+2%2C+D+%3C+10%2C+miles%29%29
D, or distance that'd make "b" cost less than "a" is: D+%3E+.6%2F.06, or highlight_green%28matrix%281%2C+2%2C+D+%3E+10%2C+miles%29%29
D, or distance that'd make the 2 cost the same is: .6%2F.06, or highlight_green%28matrix%281%2C+2%2C+D+=+10%2C+miles%29%29