Find the function that represents the total stopping distance T.

Question

The research and development department of an automobile manufacturer has determined that when required to stop quickly to avoid an accident, the distance (in feet) a car travels during the driver's reaction time is given by R(x)=7/4x

where x is the speed of the car in miles per hour. The distance (in feet) traveled while the driver is braking is given by B(x)=1/15x²

Find the function that represents the total stopping distance T.

T(x)=

Answer 1

The total stopping distance is made up of the sum of the reaction time distance and the braking distance so:

T(x) = R(x) + B(x)

Now just plug in the "7/4x" in place of R(x) and "1/15x²" in place of B(x)