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A circle's radius is 24 cm when the circle begins shrinking, so that its radius length decreases at a constant rate of 3 cm per second. a. Write a formula that expresses the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking, (T)%=24-3t Preview * Try again. Note that r is the dependent variable and not the name of the function. b. Write a formula that expresses the area of the circle, A (in cm), in terms of the circle's radius, r (in cm). A = pir^2 Preview c. Write a formula that expresses the circle's area, A (in cm2), in terms of the number of seconds, t, since the circle started shrinking. A(t)=pi x(24-3t)^2 Preview d. Define a function f that determines the area of the circle, f(t) (in cm²), given the number of seconds, t, since the circle started shrinkin Preview f(t)=pi* (24-3t)^2 e. Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second. Preview %3D A(t) = pi(24-8t)^2 Submit Question 1. Points possible: 5

A circle's radius is 24 cm when the circle begins shrinking, so that its radius length decreases at a constant rate of 3 cm per second. a. Write a formula that expresses the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking, (T)%=24-3t Preview * Try again. Note that r is the dependent variable and not the name of the function. b. Write a formula that expresses the area of the circle, A (in cm), in terms of the circle's radius, r (in cm). A = pir^2 Preview c. Write a formula that expresses the circle's area, A (in cm2), in terms of the number of seconds, t, since the circle started shrinking. A(t)=pi x(24-3t)^2 Preview d. Define a function f that determines the area of the circle, f(t) (in cm²), given the number of seconds, t, since the circle started shrinkin Preview f(t)=pi* (24-3t)^2 e. Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second. Preview %3D A(t) = pi(24-8t)^2 Submit Question 1. Points possible: 5

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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A circle's radius is 24 cm when the circle begins shrinking, so that its radius length decreases at a constant rate of 3 cm per second. a. Write a formula that expresses the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking, (T)%=24-3t Preview * Try again. Note that r is the dependent variable and not the name of the function. b. Write a formula that expresses the area of the circle, A (in cm), in terms of the circle's radius, r (in cm). A = pir^2 Preview c. Write a formula that expresses the circle's area, A (in cm2), in terms of the number of seconds, t, since the circle started shrinking. A(t)=pi x(24-3t)^2 Preview d. Define a function f that determines the area of the circle, f(t) (in cm²), given the number of seconds, t, since the circle started shrinkin Preview f(t)=pi* (24-3t)^2 e. Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second. Preview %3D A(t) = pi(24-8t)^2 Submit Question 1. Points possible: 5
Transcribed Image Text:A circle's radius is 24 cm when the circle begins shrinking, so that its radius length decreases at a constant rate of 3 cm per second. a. Write a formula that expresses the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking, (T)%=24-3t Preview * Try again. Note that r is the dependent variable and not the name of the function. b. Write a formula that expresses the area of the circle, A (in cm), in terms of the circle's radius, r (in cm). A = pir^2 Preview c. Write a formula that expresses the circle's area, A (in cm2), in terms of the number of seconds, t, since the circle started shrinking. A(t)=pi x(24-3t)^2 Preview d. Define a function f that determines the area of the circle, f(t) (in cm²), given the number of seconds, t, since the circle started shrinkin Preview f(t)=pi* (24-3t)^2 e. Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second. Preview %3D A(t) = pi(24-8t)^2 Submit Question 1. Points possible: 5
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