SOLUTION: Homework problem- this has to be solved using systems of equations, not a graph. I have to show all work, so I'll definitely need the equations used: HIS taxi company charges 1

Question 400966: Homework problem- this has to be solved using systems of equations, not a graph. I have to show all work, so I'll definitely need the equations used:
HIS taxi company charges 1 dollar per mile, with a $3 service fee. HERS taxi company charges 75 cents per mile, with a $5 service fee. At what distances do the two taxi companies charge the same amount?
Thanks!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
HIS taxi company charges 1 dollar per mile, with a $3 service fee. HERS taxi company charges 75 cents per mile, with a $5 service fee. At what distances do the two taxi companies charge the same amount?
----
HIS Equation:
A(x) = 3 + 1x where "x" is the miles driven
====
HERS Equation:
B(x) = 5 + 0.75x where "x" is the miles driven
-----
Solve A(x)=B(x):
---
3+x = 5+0.75x
0.25x = 2
x = 8 miles
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Cheers,
Stan H.
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