Chapter 4.1, Problem 88PE

(a)

To determine

To calculate: A function representing the distance $d\left(t\right)$(in mi) for t hours at cruising altitude, if the cruising altitude of $35,000\text{ft}$, a certain airplane travel at $555\text{mph}$.

(b)

To determine

To calculate: An equation for $d^{-1}\left(t\right)$ of the equation, $d\left(t\right)=555t$.

(c)

To determine

What does the inverse function $d^{-1}\left(t\right)=\frac{t}{555}$ represent in the context of the problem.

(d)

To determine

To calculate: The value of $d^{-1}\left(2553\right)$ for the function, $d^{-1}\left(t\right)=\frac{t}{555}$.