# At a cruising altitude of 35,000 ft, a certain airplane travels 555 mph.  a. Write a function representing the distance d(x) (in mi) for x hours at cruising altitude.   b. Write an equation for d−1(x). c. What does the inverse function represent in the context of this problem?d. Evaluate d-1(2553) and interpret its meaning in context.

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At a cruising altitude of 35,000 ft, a certain airplane travels 555 mph.

a. Write a function representing the distance d(x) (in mi) for x hours at cruising altitude.

b. Write an equation for d−1(x).

c. What does the inverse function represent in the context of this problem?

d. Evaluate d-1(2553) and interpret its meaning in context.

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Step 1

It is given that at an altitude of 35000 ft., certain aeroplane travels 555 mph.

The distance of the aeroplane is given by the speed × time.

(a)

Step 2

(c)

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