a) State the sinusoidal regression function that represents the graph above in the Form = a sin(bx - 2.244) + d where y represents the number of gerbils and x the number of days since the clerk started collecting the data. If necessary, round values to the nearest hundredth. b) The pet store purchases more gerbils when number of gerbils falls to 27 gerbils. Calculate the fewest number of days after the clerk started collecting the data -hould net store nurchase more gerbils, to the nearest hundredth of day.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a) State the sinusoidal regression function that represents the graph above in the
form
y = a sin(bx - 2.244) + d
where y represents the number of gerbils and x the number of days since the clerk
started collecting the data. If necessary, round values to the nearest hundredth.
b) The pet store purchases more gerbils when number of gerbils falls to 27 gerbils.
Calculate the fewest number of days after the clerk started collecting the data
should pet store purchase more gerbils, to the nearest hundredth of day.
Transcribed Image Text:ays a) State the sinusoidal regression function that represents the graph above in the form y = a sin(bx - 2.244) + d where y represents the number of gerbils and x the number of days since the clerk started collecting the data. If necessary, round values to the nearest hundredth. b) The pet store purchases more gerbils when number of gerbils falls to 27 gerbils. Calculate the fewest number of days after the clerk started collecting the data should pet store purchase more gerbils, to the nearest hundredth of day.
A pet store cleark noticed that the population in the gerbil habitat varied sinusoidally
with respect to time in days. He carefully collected data and graphed his results in
the graph below.
40
4
(17,32)
30
20
( 24 , 17 )
(10 , 17 )
10
(3,2)
(31,2)
21>
10
40
30
20
Number of gerbils
Transcribed Image Text:A pet store cleark noticed that the population in the gerbil habitat varied sinusoidally with respect to time in days. He carefully collected data and graphed his results in the graph below. 40 4 (17,32) 30 20 ( 24 , 17 ) (10 , 17 ) 10 (3,2) (31,2) 21> 10 40 30 20 Number of gerbils
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