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2. The United States Census uses world population information to model population growth. The table and graph below show information for one linear model that the Census Bureau created. World population growth 10.00 9.00 8.00 700 6.00 500 4.00 3.00 2.00 1.00 000 10 20 30 40 50 60 70 80 90 Years since 1960 3. Years Since 1960 10 20 30 40 50 60 70 80 Worlds Population (in billions) 3.75 4.50 5.25 6.00 6.75 7.50 8.25 9.0 (a) Does the graph show information about a vertical intercept? (b) Pick two ordered pairs corresponding to points on the graph. Use those ordered pairs to caleulate rate of change. Make sure you write the correct units in your answer. (c) Compare the rate of change you calculated with the aAnswers other people found. Are all of the rates of change the same? If so, why? Estimated worid pepubton in billons

2. The United States Census uses world population information to model population growth. The table and graph below show information for one linear model that the Census Bureau created. World population growth 10.00 9.00 8.00 700 6.00 500 4.00 3.00 2.00 1.00 000 10 20 30 40 50 60 70 80 90 Years since 1960 3. Years Since 1960 10 20 30 40 50 60 70 80 Worlds Population (in billions) 3.75 4.50 5.25 6.00 6.75 7.50 8.25 9.0 (a) Does the graph show information about a vertical intercept? (b) Pick two ordered pairs corresponding to points on the graph. Use those ordered pairs to caleulate rate of change. Make sure you write the correct units in your answer. (c) Compare the rate of change you calculated with the aAnswers other people found. Are all of the rates of change the same? If so, why? Estimated worid pepubton in billons

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 42E
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2. The United States Census uses world population information to model population growth. The table and graph below show information for one linear model that the Census Bureau created. World population growth 10.00 9.00 8.00 7.00 R6.00 500 4.00 3.00 2.00 1.00 0.00 10 20 30 40 50 60 70 80 90 Years since 1960 3 Years Since 1960 10 20 30 40 50 60 70 80 Worlds Population (in billions) 3.75 4.50 5.25 6.00 6.75 7.50 8.25 9.0 (a) Does the graph show information about a vertical intercept? (b) Pick two ordered pairs corresponding to points on the graph. Use those ordered pairs to caleulate rate of change. Make sure you write the correct units in your answer. (c) Compare the rate of change you calculated with the answers other people found. Are all of the rates of change the same? If so, why? (d) Let t represent the number of years since 1960 and let P(e) represent the corresponding world population, in billions. Use the steps to create a linear function from two data points to find an equation that expresses the linear relationship between P(t) and t. (e) Verify that the equation you found in part (d) is correct by taking a new point from the table and checking that it lies on the line you just found. () What is P(0)? Use your function from part (d) to find this. What does this tell you about the vertical intercept? What dos this tell you about the world population in 19607 MacBook Air
Transcribed Image Text:2. The United States Census uses world population information to model population growth. The table and graph below show information for one linear model that the Census Bureau created. World population growth 10.00 9.00 8.00 7.00 R6.00 500 4.00 3.00 2.00 1.00 0.00 10 20 30 40 50 60 70 80 90 Years since 1960 3 Years Since 1960 10 20 30 40 50 60 70 80 Worlds Population (in billions) 3.75 4.50 5.25 6.00 6.75 7.50 8.25 9.0 (a) Does the graph show information about a vertical intercept? (b) Pick two ordered pairs corresponding to points on the graph. Use those ordered pairs to caleulate rate of change. Make sure you write the correct units in your answer. (c) Compare the rate of change you calculated with the answers other people found. Are all of the rates of change the same? If so, why? (d) Let t represent the number of years since 1960 and let P(e) represent the corresponding world population, in billions. Use the steps to create a linear function from two data points to find an equation that expresses the linear relationship between P(t) and t. (e) Verify that the equation you found in part (d) is correct by taking a new point from the table and checking that it lies on the line you just found. () What is P(0)? Use your function from part (d) to find this. What does this tell you about the vertical intercept? What dos this tell you about the world population in 19607 MacBook Air
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