Tucker is interested in the number of stray cats near campus and has tracked 100 stray cats that were born near campus in the year 2010. The number of these stray cats still living near campus each subsequent year is recorded in the table below. Year 2010 2011 2012 2013 2014 2015 2016 2017 Number of Stray Cats 100 96 89 74 63 48 21 15 (a) Let x = 0 be the year 2010 and make a plot of these points in Desmos. (b) Let C(x) be a linear function that approximates the number of stray cats still near campus r years after 2010. What is the best choice for a y-intercept, b, if C(x) = mx +b? (c) Use regression in Desmos to find the best choice for a slope, m, for C(x). (d) Interpret the slope and r-intercept of C(x).

Tucker is interested in the number of stray cats near campus and has tracked 100 stray cats that were born near campus in the year 2010. The number of these stray cats still living near campus each subsequent year is recorded in the table below. Year 2010 2011 2012 2013 2014 2015 2016 2017 Number of Stray Cats 100 96 89 74 63 48 21 15 (a) Let x = 0 be the year 2010 and make a plot of these points in Desmos. (b) Let C(x) be a linear function that approximates the number of stray cats still near campus r years after 2010. What is the best choice for a y-intercept, b, if C(x) = mx +b? (c) Use regression in Desmos to find the best choice for a slope, m, for C(x). (d) Interpret the slope and r-intercept of C(x).

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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