I need help with a word problem

Question

The braking distance d (in feet) of a car is divided into two components. One part depends on
reaction time. The number of feet for reaction time is about the same as the speed of the car
in miles per hour, v. The other component is due to friction, which is a force that is
proportional to the velocity squared. Add these two components together, we find the braking
distance satisfies the equation:

D = v + v^2/20

 

1. What is a reasonable domain for this function? _____________
2. What is a reasonable range for this function? ______________

Answer 1

For the domain, reasonable values are from 0 to 100 mph.

You calculate the value of the function when the speed is 100 mph and will find the reasonable values for the range.

 

D=100 +100²/20

is largest value in the range.

What would be the smallest value of the range?