The first thing we have to do is identify the values of the problem and express them in terms of an equation:
• 1 day of luxury car rental is worth $ 19.95
,• 1 mile traveled in the car costs $ 0.29
[tex]RentCar=19.95\cdot d+0.29\cdot m[/tex]Where d is the rent days and m is the miles that the car can drive.
If we have $200 and want to rent the car for 3 days, we have to solve the ecuation for m:
[tex]\begin{gathered} m=\frac{RentCar-19.95\cdot d}{0.29} \\ RentCar=200 \\ d=3 \\ m=\frac{200-19.95\cdot(3)}{0.29} \\ m=\frac{140.15}{0.29} \\ m=483.27\text{ miles} \end{gathered}[/tex]The car can only travel 483.27 miles with the $ 200
