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.
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)