Answer
The linear equation which relates cost C and number of $x$ miles driven is $C(x)=0.17x+4462$.
Work Step by Step
The linear cost equation is given by
$$Cost = Variable Cost + Fixed Cost $$
Fixed Cost = $\$4462$
Variable Cost = Cost per item $\times $ Number of miles driven.
The number of miles driven is $x$.
So, the variable cost =$\$0.17x$
The cost equation is given by $C(x)=0.17x+4462$.