5. Suppose there are 500 rats on a certain island in 1973 and 1697 rats on the same island 10 years later. Assume that the number R(t) of rats on the island t years after 1973 is an exponential function. (a) Find an exponential function of the form R(t) = Ae". Let t = 0 represent the year 1973. (b) According to your function R(t), how many rats will be on the island in 2020? (c) How long did it take for the population of rats to double from its 1973 amount? (d) How long will it take to double from its 2020 amount?

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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5. Suppose there are 500 rats on a certain island in 1973 and 1697 rats on the same island 10 years
later. Assume that the number R(t) of rats on the island t years after 1973 is an exponential
function.
(a) Find an exponential function of the form R(t) = Ae". Let t = 0 represent the year 1973.
(b) According to your function R(t), how many rats will be on the island in 2020?
(c) How long did it take for the population of rats to double from its 1973 amount?
(d) How long will it take to double from its 2020 amount?
Transcribed Image Text:5. Suppose there are 500 rats on a certain island in 1973 and 1697 rats on the same island 10 years later. Assume that the number R(t) of rats on the island t years after 1973 is an exponential function. (a) Find an exponential function of the form R(t) = Ae". Let t = 0 represent the year 1973. (b) According to your function R(t), how many rats will be on the island in 2020? (c) How long did it take for the population of rats to double from its 1973 amount? (d) How long will it take to double from its 2020 amount?
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