Question

9. Jose's car rental company charges $6.75 for a pick up plus $2.45 for each mile driven.a. Write an equation showing how the cost, C, depends on the number of miles travelled, X.b. How far could you travel for $80?

Answer 1

The rental company charges $6.75 for a pick up and $2.45 for every mile.

The cost for travelling x miles is,

$\text{2}.45\cdot x=2.45x$

The total cost equation for x miles travelled is,

$C=2.45x+6.75$

So equation is C = 6.75 + 2.45x.

b.

For csot $80, the value of C is C = 80.

Solve the equation for x.

$\begin{gathered} 80=6.75+2.45x \\ 2.45x=80-6.75 \\ x=\frac{73.25}{2.45} \\ =29.8979 \end{gathered}$

So individual can travel 29.8979 miles in $80.