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Precalculus

Lesson 2: Modeling with composite functions

Model with composite functions

Mason is a captain of a tourist cruise to the Statue of Liberty. He saw and modeled the following relationships.

Function	Input	Output
P	Duration of the cruise, r	Average number of photos taken by each passenger, P, left parenthesis, r, right parenthesis
D	Speed of the ship, k	Duration of the cruise, D, left parenthesis, k, right parenthesis
S	Rate of the river current, x	Speed of the ship, S, left parenthesis, x, right parenthesis

The expression D, left parenthesis, S, left parenthesis, x, right parenthesis, right parenthesis represents which of the following?

(Choice A)
The duration of the cruise as a function of the rate of the river current
(Choice B)
The speed of the cruise ship as a function of the rate of the river current
(Choice C)
The average number of photos taken per passenger as a function of the speed of the ship

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