SOLUTION: The cost of renting a van for one day includes the flat rate plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $97.15. A van

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The cost of renting a van for one day includes the flat rate plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $97.15. A van       Log On


   

Question 863697: The cost of renting a van for one day includes the flat rate plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $97.15. A van that is driven 127 miles costs $106.15. What is the flat rental rate?
I have no idea how to set this up or solve it.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
"cost of renting a van for one day includes the flat rate plus a charge for each mile"
C=A%2BB%2AM where M is the number of miles, C is the cost.
So solve for A and B.
1.A%2B107B=97.15
2.A%2B127B=106.15
Subtract eq. 1 from eq. 2 to eliminate A
A%2B127B-A-107B=106.15-97.15
20B=9
B=9%2F20
Then use either equation to solve for A.
A%2B107%2A%289%2F20%29=97.15
A=9715%2F100-963%2F20
A=9715%2F100-4815%2F100
A=4900%2F100
A=49
So then,
C=49%2B0.45%2AM