The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula 5000+ 5000 sin(2nt/5) where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990. (b) What years was the population greatest (in increasing order)? (c) What years was the population lowest (in increasing order)? (d) How quickly was the population changing at the start of 1985? Was it increasing or decreasing? What are the units of your answer (write out all words)? I

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 13E
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The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given
approximately by the formula 5000+ 5000 sin(2nt/5) where t is the number of years after 1980. (a)
Sketch on graph paper the population during 1980-1990.
(b) What years was the population greatest (in increasing order)?
(c) What years was the population lowest (in increasing order)?
(d) How quickly was the population changing at the start of 1985?
Was it increasing or decreasing?
What are the units of your answer (write out all words)?
I
Transcribed Image Text:The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula 5000+ 5000 sin(2nt/5) where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990. (b) What years was the population greatest (in increasing order)? (c) What years was the population lowest (in increasing order)? (d) How quickly was the population changing at the start of 1985? Was it increasing or decreasing? What are the units of your answer (write out all words)? I
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