A) 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 = [ ] x^2 + [ ] x - [ ] (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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 2ECP
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(A) 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

= [ ] x^2 + [ ] x - [ ]

(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.)

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
Class
Midpoint,
X
19.5
29.5
39.5
49.5
59.5
69.5
Median
Income, I
$10,964
$33,132
$42,637
$45,693
$42,478
$23,500
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 65 years and older Class Midpoint, X 19.5 29.5 39.5 49.5 59.5 69.5 Median Income, I $10,964 $33,132 $42,637 $45,693 $42,478 $23,500
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