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An individual's income varies with age. The table shows the median income I of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable x. For the class "65 years and older," assume that the class midpoint is 69.5. Complete parts (a) through (e). Age 15-24 years 25-34 years 35-44 years 45-54 years 55-64 years 65 years and older O A. Class Midpoint, Q X At about years of age, the individual can expect to earn the most income. (Do not round until the final answer. Then round to the nearest tenth as needed.) (d) Use the function in part (b) to predict the peak income earned. O B. 19.5 29.5 39.5 (b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income. The quadratic function of best fit is y=x²+x-0. (Type integers or decimals rounded to three decimal places as needed.) (c) Use the function found in part (b) to determine the age at which an individual can expect to earn the most income. 49.5 59.5 69.5 The predicted peak income is about $. (Round to the nearest dollar as needed.) (e) With a graphing utility, graph the quadratic function of best fit on the scatter diagram. Which of the following shows the quadratic function of best fit? Q Median Income, I $12,965 $32,131 $42,637 $45,693 $42,478 $23,500 O C. O D. Q A

An individual's income varies with age. The table shows the median income I of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable x. For the class "65 years and older," assume that the class midpoint is 69.5. Complete parts (a) through (e). Age 15-24 years 25-34 years 35-44 years 45-54 years 55-64 years 65 years and older O A. Class Midpoint, Q X At about years of age, the individual can expect to earn the most income. (Do not round until the final answer. Then round to the nearest tenth as needed.) (d) Use the function in part (b) to predict the peak income earned. O B. 19.5 29.5 39.5 (b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income. The quadratic function of best fit is y=x²+x-0. (Type integers or decimals rounded to three decimal places as needed.) (c) Use the function found in part (b) to determine the age at which an individual can expect to earn the most income. 49.5 59.5 69.5 The predicted peak income is about $. (Round to the nearest dollar as needed.) (e) With a graphing utility, graph the quadratic function of best fit on the scatter diagram. Which of the following shows the quadratic function of best fit? Q Median Income, I $12,965 $32,131 $42,637 $45,693 $42,478 $23,500 O C. O D. Q A

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
Section10.2: Representing Data
Problem 14PPS
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An individual's income varies with age. The table shows the median income I of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable x. For the class "65 years and older," assume that the class midpoint is 69.5. Complete parts (a) through (e). (a) Use a graphing utility to Choose the correct answer below. A. a scatter diagram of the data. Com Age 15-24 years 25-34 years 35-44 years 45-54 years 55-64 years 65 years and older [0,80,10] by [0,60000, 10000] Which type of relation exists between the two variables? 2 B. + X- Class Midpoint, X 19.5 29.5 39.5 49.5 59.5 69.5 ent on Median Income, I $12,965 $32,131 $42,637 $45,693 $42,478 $23,500 type of relation that may exist etween the two variables A. Linear with positive slope B. Linear with negative slope C. Quadratic with a > 0 D. Quadratic with a < 0 (b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income. The quadratic function of best fit is y= C. D.
Transcribed Image Text:An individual's income varies with age. The table shows the median income I of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable x. For the class "65 years and older," assume that the class midpoint is 69.5. Complete parts (a) through (e). (a) Use a graphing utility to Choose the correct answer below. A. a scatter diagram of the data. Com Age 15-24 years 25-34 years 35-44 years 45-54 years 55-64 years 65 years and older [0,80,10] by [0,60000, 10000] Which type of relation exists between the two variables? 2 B. + X- Class Midpoint, X 19.5 29.5 39.5 49.5 59.5 69.5 ent on Median Income, I $12,965 $32,131 $42,637 $45,693 $42,478 $23,500 type of relation that may exist etween the two variables A. Linear with positive slope B. Linear with negative slope C. Quadratic with a > 0 D. Quadratic with a < 0 (b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income. The quadratic function of best fit is y= C. D.
An individual's income varies with age. The table shows the median income I of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable x. For the class "65 years and older," assume that the class midpoint is 69.5. Complete parts (a) through (e). Age 15-24 years 25-34 years 35-44 years 45-54 years 55-64 years O A. Γλ Class Midpoint, 19.5 29.5 39.5 49.5 59.5 65 years and older 69.5 (b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income. The quadratic function of best fit is y= ·x² + x 0. (Type integers or decimals rounded to three decimal places as needed.) (c) Use the function found in part (b) to determine the age at which an individual can expect to earn the most income. X- X At about years of age, the individual can expect to earn the most income. (Do not round until the final answer. Then round to the nearest tenth as needed.) (d) Use the function in part (b) to predict the peak income earned. The predicted peak income is about $ (Round to the nearest dollar as needed.) (e) With a graphing utility, graph the quadratic function of best fit on the scatter diagram. Which of the following shows the quadratic function of best fit? O B. Median Income, I $12,965 $32,131 $42,637 $45,693 $42,478 $23,500 Q Γλ O D. A Γλ
Transcribed Image Text:An individual's income varies with age. The table shows the median income I of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable x. For the class "65 years and older," assume that the class midpoint is 69.5. Complete parts (a) through (e). Age 15-24 years 25-34 years 35-44 years 45-54 years 55-64 years O A. Γλ Class Midpoint, 19.5 29.5 39.5 49.5 59.5 65 years and older 69.5 (b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income. The quadratic function of best fit is y= ·x² + x 0. (Type integers or decimals rounded to three decimal places as needed.) (c) Use the function found in part (b) to determine the age at which an individual can expect to earn the most income. X- X At about years of age, the individual can expect to earn the most income. (Do not round until the final answer. Then round to the nearest tenth as needed.) (d) Use the function in part (b) to predict the peak income earned. The predicted peak income is about $ (Round to the nearest dollar as needed.) (e) With a graphing utility, graph the quadratic function of best fit on the scatter diagram. Which of the following shows the quadratic function of best fit? O B. Median Income, I $12,965 $32,131 $42,637 $45,693 $42,478 $23,500 Q Γλ O D. A Γλ
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