The number of cats in Eugene is increasing at a constant rate. Four weeks ago, the number of cats was 48,000. Today, it is 50,000.  a.)Write an equation for the number of cats in Eugene as a function of the number of days from today.  B.)When will there be 61,000 cats in Eugene?

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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The number of cats in Eugene is increasing at a constant rate. Four weeks ago, the number of cats was 48,000. Today, it is 50,000. 

a.)Write an equation for the number of cats in Eugene as a function of the number of days from today. 

B.)When will there be 61,000 cats in Eugene?

Expert Solution
Step 1

(a)

Consider the increase in number of cats in four weeks is,

50000-48000=2000

Then, the rate of increase of cat per day is,

200074=200028

Since, cats were 48000 before 28 days and 50000 at present then the corresponding points are -28,48000,0,50000.

Then, the equation to model the given condition, that is to find the number of cats in Eugene as a function of the number of days from today is,

y=200028x+50,000

Here, is the number of days and  is the number of cats.

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