The situation can be represented by the equation
![\[C(m) = 6 + 3m\]](https://img.qammunity.org/2021/formulas/mathematics/high-school/pms10xhp5p65kidp95u1k1j4mcdhl0b1ih.png)
How did we arrive at this assertion?
One can represent the situation using a linear equation where the total cost (C) is a function of the distance traveled (m). In this case, the equation would be:
![\[C(m) = 6 + 3m\]](https://img.qammunity.org/2021/formulas/mathematics/high-school/pms10xhp5p65kidp95u1k1j4mcdhl0b1ih.png)
Here:
-
is the total cost of the trip,
-
represents the initial fee,
-
represents the meter fee for each mile traveled.
So, the total cost is the sum of the initial fee and the meter fee multiplied by the number of miles traveled.