Police use the formula:

v=20L\displaystyle {v}=\sqrt{{{20}{L}}}

to estimate the speed of a car, v\displaystyle {v}, in miles per hour, based on the length, L\displaystyle {L}, in feet, of its skid marks when suddenly braking on a dry, asphalt road.

a. Identify and interpret the domain of the equation in terms of the mathematics of the equation and the context.



b. A policeman measures a car's skid marks to be 195 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

miles per hour.

c. Use the formula to determine how much space in feet you need to leave between your car and the car in front of you when traveling on an Interstate with a speed limit of 70mph\displaystyle {70}\text{mph}. Assume everyone is traveling the speed limit.

feet.

d. Produce a presentation style graph of the equation of two variables. Make sure the viewing window is appropriate for this situation. Label the solutions to parts b. and c. as well as the starting point and axes. Upload your completed file below.