Engineers need to calculate a minimum safe radius for highway curves. To make a sharp curve safer, the road can be banked or elevated. If a curve is designed for a speed of 40 miles per hour and is banked with slope m, then a minimum radius R is computed by the function R(m) = 1600/15m+2

Q1: Using the function R(m) = 1600/15m+2, evaluate R(0.1) to find the minimum radius for a safe curve with a slope of 0.1 feet. Round your answer to the nearest tenth.

A curve banked with a slope of 0.1 feet should have a minimum radius of ____ feet.


Q2: If a curve has a radius of 320 feet, what is its slope? Use the function to solve. Write your answer as a decimal.

According to the function, this curve will be banked with a slope of _____ feet.