Bill wants to rent a car. Rental comoany a cahrge $35 per day plus $0.10 per miles driven. Rental company B charges $25 per day plus $0.15 per mile driven. aAfter how many miles driven will the price charged by each company be the same?

1) Rental company A

f₁ (x) = price charged.

x=number of miles

We have this function.

f₁ (x) = 0.1x+35

2) Rental company B.

f₂ (x) = price charged.

x=number of miles.

We have this function.

f₂ (x) = 0.15x+25

The price charged by each company will be the same when f₁ (x) = f₂ (x), therefore:

0.1x+35=0.15x+25

0.1x-0.15x=25-35

-0.05x=-10

x=-10 / - 0.05

x=200

Answer: the price charged will be the same after of 200 miles.

35 + 0.10m = 25 + 0.15m

35 - 25 = 0.15m - 0.10m

10 = 0.05m

10/0.05 = m

200 = m ... after 200 miles driven, they will be the same