What is the answer and how do I find it?

Question

The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles cost $97.15. A van that is driven 127 miles cost $106.15. What Is the flat rental fee?

Please show your work.

Thanks!

Answer 1

Subtract the two equations

106.15 = x + 127 y

-97.15 = -x - 107y

9 = 20 y

solve and substitute

y the rate is .45 per mile

x the rental fee is $49

Answer 2

Let x be the rental fee and y be the rate for driving van for 1 mile.

Idea is to make equation the solve them.

For first equation, 97.15 is the total cost which will be equal to rental fee (x) + the fee for driving it certain mile. y*107 will give the charge for driving it 107 miles.

97.15 = x + y*107

Similarly,

106.15 = x + y*127

Now, you have two equation and two variables. You can solve these two equation to find rental fee (x). If you any question, please let me know.

I hope this helps.