A car leaves Seattle heading east. The speed of the car in mph after $\displaystyle {m}$ minutes is given by the function $\displaystyle {C}{\left({m}\right)}$. The function $\displaystyle {m}{\left({s}\right)}$ converts $\displaystyle {s}$ seconds into $\displaystyle {m}$ minutes. What does the function $\displaystyle {C}{\left({m}{\left({s}\right)}\right)}$ do? Identify the input and output of the function in a complete sentence.



The function $\displaystyle {z}={f{{\left({v}\right)}}}$ converts $\displaystyle {v}$ mph into $\displaystyle {z}$ ft/sec. What does the function $\displaystyle {z}{\left({C}{\left({m}\right)}\right)}$ do? Identify the input and output of the function in a complete sentence.