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?
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,
Then, the rate of increase of cat per day is,
Since, cats were 48000 before 28 days and 50000 at present then the corresponding points are .
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,
Here, x is the number of days and y is the number of cats.
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