Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, commaC, in terms of m, commam, representing the total cost of renting the truck if Robert were to drive mm miles.

1 answer

The initial fee is represented by a constant term, let's call it "a". The fee per mile driven is $1.50, so the term representing the fee per mile would be 1.5m.

Therefore, the equation for the total cost (C) in terms of miles driven (m) would be:

C = a + (1.5m)

Since we know that the total cost is $26 when Robert drives 4 miles:

26 = a + (1.5 * 4)

26 = a + 6

Subtracting 6 from both sides, we get:

a = 26 - 6
a = 20

Therefore, the equation for the total cost (C) in terms of miles driven (m) is:

C = 20 + (1.5m)