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A spherical balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm/s. (a) Find a function f that models the radius as a function of timet, in seconds. f(t) %3D (b) Find a function g that models the volume as a function of the radius r, in cm. g(r) = (c) Find g o f. gof= What does this function represent? The function represents the volume as a function of the radius. The function represents the radius as a function of volume. O The function represents the time as a function of volume. O The function represents the volume as a function of time. O The function represents the radius as a function of time.

A spherical balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm/s. (a) Find a function f that models the radius as a function of timet, in seconds. f(t) %3D (b) Find a function g that models the volume as a function of the radius r, in cm. g(r) = (c) Find g o f. gof= What does this function represent? The function represents the volume as a function of the radius. The function represents the radius as a function of volume. O The function represents the time as a function of volume. O The function represents the volume as a function of time. O The function represents the radius as a function of time.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 27E
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A spherical balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm/s. (a) Find a function f that models the radius as a function of time t, in seconds. f(t) %D (b) Find a function g that models the volume as a function of the radius r, in cm. g(r) = (c) Find g o f. gof= What does this function represent? The function represents the volume as a function of the radius. O The function represents the radius as a function of volume. O The function represents the time as a function of volume. O The function represents the volume as a function of time. O The function represents the radius as a function of time.
Transcribed Image Text:A spherical balloon is being inflated. The radius of the balloon is increasing at the rate of 3 cm/s. (a) Find a function f that models the radius as a function of time t, in seconds. f(t) %D (b) Find a function g that models the volume as a function of the radius r, in cm. g(r) = (c) Find g o f. gof= What does this function represent? The function represents the volume as a function of the radius. O The function represents the radius as a function of volume. O The function represents the time as a function of volume. O The function represents the volume as a function of time. O The function represents the radius as a function of time.
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