Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 44,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had fallen off, and they wound up tagging a total of 70,400 frogs. (a) Find an exponential model for the frog population. f(t) = 44000e0.235t X (b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) 89049 X tags

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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Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU
campus. Two years ago (t = 0) they managed to tag all 44,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had fallen off, and they wound up
tagging a total of 70,400 frogs.
(a) Find an exponential model for the frog population.
0.235t
f(t) = 44000e
(b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest
integer.)
89049
X tags
Transcribed Image Text:Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 44,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had fallen off, and they wound up tagging a total of 70,400 frogs. (a) Find an exponential model for the frog population. 0.235t f(t) = 44000e (b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) 89049 X tags
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