Answer
(a) $C(x)=0.89x+31.95$
(b) The cost of driving 110 miles is 129.85 dollars, and the cost of driving 230 miles is 236.65 dollars.
Work Step by Step
If we check the linear formula y=mx+b, we can see that b can represent the fixed price while m represents the rate per mile, so we can model the exercise in the following equation:
$C(x)=0.89x+31.95$
To find the costs of renting the truck for 110 and 230 miles, we calculate C(110) and C(230) respectively:
$C(110)=0.89(110)+31.95$
$C(110)=97.9+31.95$
$C(110)=129.85$ dollars
$C(230)=0.89(230)+31.95$
$C(230)=204.7+31.95$
$C(230)=236.65$ dollars
