1. A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time in minutes and r is in feet. (a) Find a function that gives the area burned as a function of time. Remember, A= Tr2. (b) Find the total area burned after 5 minutes:

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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1. A forest fire leaves behind an area of grass burned in an expanding circular pattern.
The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time
in minutes and r is in feet.
(a) Find a function that gives the area bured as a function of time. Remember,
A = Tr?.
(b) Find the total area burned after 5 minutes!
2. The circumference C of a circle is a function of its radius given by C(r) = 2rr where
C and r are in meters.
(a) Express the radius of the circle as a function of the circumference, r(C).
(b) Find r(36) and interpret its meaning.
Transcribed Image Text:1. A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time in minutes and r is in feet. (a) Find a function that gives the area bured as a function of time. Remember, A = Tr?. (b) Find the total area burned after 5 minutes! 2. The circumference C of a circle is a function of its radius given by C(r) = 2rr where C and r are in meters. (a) Express the radius of the circle as a function of the circumference, r(C). (b) Find r(36) and interpret its meaning.
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