Answer:
The flat rental is 49$.
Step-by-step explanation:
We are given the following in the question:
The cost of renting van includes a rental fee and cost for distance traveled.
Let x be the flat rental fee and y be the cost per mile.
A van that is driven 107 miles costs $97.15
Thus, we can write the equation:
[tex]97.15 = x + 107y[/tex]
A van that is driven 127 miles costs 106.15.
Thus, we can write the equation:
[tex]106.15 = x + 127y[/tex]
Solving the two equations, we get,
[tex]x + 127y - x - 107y = 106.15-97.15\\20y = 9\\y = 0.45\\x + 127(0.45) = 106.15\\x = 106.45-127(0.45) = 49[/tex]
Thus, the flat rental is 49$.
