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In Exercises 117–120, find the exponential model y = aebx that fits the two points. 117. (0, 2), (4, 3) 118. (0, 2), (5, 1) 119. (0, ), (5, 5) 120. (0, 4), (5, 3)

In Exercises 117–120, find the exponential model y = aebx that fits the two points. 117. (0, 2), (4, 3) 118. (0, 2), (5, 1) 119. (0, ), (5, 5) 120. (0, 4), (5, 3)

Calculus: Early Transcendentals
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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242 Chapter 3 Exponential and Logarithmic Fu- 112. y = 4e2x/3 114. y = 7 – log10(x + 3) 6. %3D 111. y = 3e-2x/3 113. y = In(x + 3) %3D 116. y %3D 115. y = 2e-(x+4)²/3 1 + 2e-2r In Exercises 117–120, find the exponential model y = aebx that fits the two points. %3D 117. (0, 2), (4, 3) 118. (0, 2), (5, 1) 119. (0, ), (5, 5) 120. (0, 4), (5, 5) 121. Population The population P (in thousands) of Colorado Springs, Colorado is given by P = 361ekt where t = 0 represents the year 2000. In 1980, the population was 215,000. Find the value of k and use this result to predict the population in the year 2020. (Source: U.S. Census Bureau) 122. Radioactive Decay The half-life of radioactive uranium II (234U) is 245,500 years. What percent of the present amount of radioactive uranium II will remain after 5000 years?
Transcribed Image Text:242 Chapter 3 Exponential and Logarithmic Fu- 112. y = 4e2x/3 114. y = 7 – log10(x + 3) 6. %3D 111. y = 3e-2x/3 113. y = In(x + 3) %3D 116. y %3D 115. y = 2e-(x+4)²/3 1 + 2e-2r In Exercises 117–120, find the exponential model y = aebx that fits the two points. %3D 117. (0, 2), (4, 3) 118. (0, 2), (5, 1) 119. (0, ), (5, 5) 120. (0, 4), (5, 5) 121. Population The population P (in thousands) of Colorado Springs, Colorado is given by P = 361ekt where t = 0 represents the year 2000. In 1980, the population was 215,000. Find the value of k and use this result to predict the population in the year 2020. (Source: U.S. Census Bureau) 122. Radioactive Decay The half-life of radioactive uranium II (234U) is 245,500 years. What percent of the present amount of radioactive uranium II will remain after 5000 years?
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