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Frogs have been dying 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 52,000 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 34,000 frogs. (a) Find an exponential model for the frog population, with t in years. f(t) = (b) Assuming exponential population decrease and that all this year's tags fall off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) tags (c) If the current trend continues (and all the tags fall off each year) what is the first year in which fewer than 1,000 tags be required? (Round your answer to the nearest integer.) t = yr

Frogs have been dying 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 52,000 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 34,000 frogs. (a) Find an exponential model for the frog population, with t in years. f(t) = (b) Assuming exponential population decrease and that all this year's tags fall off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) tags (c) If the current trend continues (and all the tags fall off each year) what is the first year in which fewer than 1,000 tags be required? (Round your answer to the nearest integer.) t = yr

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 9CYU
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Frogs have been dying 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 52,000 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 34,000 frogs. (a) Find an exponential model for the frog population, with t in years. f(t) = (b) Assuming exponential population decrease and that all this year's tags fall off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) tags (c) If the current trend continues (and all the tags fall off each year) what is the first year in which fewer than 1,000 tags be required? (Round your answer to the nearest integer.) t = yr
Transcribed Image Text:Frogs have been dying 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 52,000 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 34,000 frogs. (a) Find an exponential model for the frog population, with t in years. f(t) = (b) Assuming exponential population decrease and that all this year's tags fall off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) tags (c) If the current trend continues (and all the tags fall off each year) what is the first year in which fewer than 1,000 tags be required? (Round your answer to the nearest integer.) t = yr
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