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The following table gives, for a certain man, his weight W = W(t) in pounds at age t in years. t = Age (years) 4 W = Weight (pounds) 36 8 53 80 127 159 160 12 16 20 24 (a) Make a table showing, for each of the 4-year periods, the average yearly rate of change in W. (Round your answers to two decimal places.) Age change 4 to 8 8 to 12 12 to 16 16 to 20 7 20 to 24 1.75 Growth rate 4.5 (b) Describe in general terms how the man's gain in weight varied over time. O The man gained, on average, more weight per year from age 4 through age 8, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 12, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 16, after which the man continued to gain weight, but more slowly. O The man gained weight, on average, slowly at first, then gained more weight per year from age 16 through age 20. 12 to 16 6.75 During which 4-year period did the man gain the most in weight? O 0 to 4 O4 to 8 O 8 to 12 11.75 (c) Estimate how much the man weighed at age 30. (Use the man's average yearly rate of change of W between ages 20 and 24 to make this estimation.) pounds Is your answer reasonable? (d) Use the average rate of change to estimate how much he weighed at birth. (Use the man's average yearly rate of change of W between ages 4 and 8 to make this estimation.) pounds 4

The following table gives, for a certain man, his weight W = W(t) in pounds at age t in years. t = Age (years) 4 W = Weight (pounds) 36 8 53 80 127 159 160 12 16 20 24 (a) Make a table showing, for each of the 4-year periods, the average yearly rate of change in W. (Round your answers to two decimal places.) Age change 4 to 8 8 to 12 12 to 16 16 to 20 7 20 to 24 1.75 Growth rate 4.5 (b) Describe in general terms how the man's gain in weight varied over time. O The man gained, on average, more weight per year from age 4 through age 8, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 12, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 16, after which the man continued to gain weight, but more slowly. O The man gained weight, on average, slowly at first, then gained more weight per year from age 16 through age 20. 12 to 16 6.75 During which 4-year period did the man gain the most in weight? O 0 to 4 O4 to 8 O 8 to 12 11.75 (c) Estimate how much the man weighed at age 30. (Use the man's average yearly rate of change of W between ages 20 and 24 to make this estimation.) pounds Is your answer reasonable? (d) Use the average rate of change to estimate how much he weighed at birth. (Use the man's average yearly rate of change of W between ages 4 and 8 to make this estimation.) pounds 4

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 3TU
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The following table gives, for a certain man, his weight W = W(t) in pounds at age t in years. t = Age W = Weight (years) 4 8 12 16 20 24 (a) Make a table showing, for each of the 4-year periods, the average yearly rate of change in W. (Round your answers to two decimal places.) Age change 4 to 8 8 to 12 12 to 16 16 to 20 20 to 24 1.75 Growth rate (pounds) 36 53 80 127 159 160 4.5 7 (b) Describe in general terms how the man's gain in weight varied over time. O The man gained, on average, more weight per year from age 4 through age 8, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 12, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 16, after which the man continued to gain weight, but more slowly. O The man gained weight, on average, slowly at first, then gained more weight per year from age 16 through age 20. O4 to 8 O 8 to 12 12 to 16 During which 4-year period did the man gain the most in weight? O 0 to 4 6.75 11.75 (c) Estimate how much the man weighed at age 30. (Use the man's average yearly rate of change of W between ages 20 and 24 to make this estimation.) pounds Is your answer reasonable? (d) Use the average rate of change to estimate how much he weighed at birth. (Use the man's average yearly rate of change of W between ages 4 and 8 to make this estimation.) pounds
Transcribed Image Text:The following table gives, for a certain man, his weight W = W(t) in pounds at age t in years. t = Age W = Weight (years) 4 8 12 16 20 24 (a) Make a table showing, for each of the 4-year periods, the average yearly rate of change in W. (Round your answers to two decimal places.) Age change 4 to 8 8 to 12 12 to 16 16 to 20 20 to 24 1.75 Growth rate (pounds) 36 53 80 127 159 160 4.5 7 (b) Describe in general terms how the man's gain in weight varied over time. O The man gained, on average, more weight per year from age 4 through age 8, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 12, after which the man continued to gain weight, but more slowly. O The man gained, on average, more weight per year from age 4 through age 16, after which the man continued to gain weight, but more slowly. O The man gained weight, on average, slowly at first, then gained more weight per year from age 16 through age 20. O4 to 8 O 8 to 12 12 to 16 During which 4-year period did the man gain the most in weight? O 0 to 4 6.75 11.75 (c) Estimate how much the man weighed at age 30. (Use the man's average yearly rate of change of W between ages 20 and 24 to make this estimation.) pounds Is your answer reasonable? (d) Use the average rate of change to estimate how much he weighed at birth. (Use the man's average yearly rate of change of W between ages 4 and 8 to make this estimation.) pounds
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