A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at the constant rate of 9 cm/s. (a) Find a function f that models the radius as a function of time t, in seconds. f(t) = (b) If the volume of a sphere is given by g(r)= = ³3, find gof= What does this composition represent? O The function represents the volume as a function of time. O The function represents the volume as a function of the radius. O The function represents the time as a function of volume. O The function represents the radius as a function of time. O The function represents the radius as a function of volume.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at the constant rate of 9 cm/s.
(a) Find a function f that models the radius as a function of time t, in seconds.
f(t) =
(b) If the volume of a sphere is given by g(r)= =
=33²³,
gof=
, find
What does this composition represent?
O The function represents the volume as a function of time.
O The function represents the volume as a function of the radius.
O The function represents the time as a function of volume.
O The function represents the radius as a function of time.
O The function represents the radius as a function of volume.
Transcribed Image Text:A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at the constant rate of 9 cm/s. (a) Find a function f that models the radius as a function of time t, in seconds. f(t) = (b) If the volume of a sphere is given by g(r)= = =33²³, gof= , find What does this composition represent? O The function represents the volume as a function of time. O The function represents the volume as a function of the radius. O The function represents the time as a function of volume. O The function represents the radius as a function of time. O The function represents the radius as a function of volume.
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