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 Class Midpoint, x Median Income, I
15-24 years 19.5 $10,964
25-34 years 29.5 $32,131
35-44 years 39.5 $41,636
45-54 years 49.5 $45,693
55-64 years 59.5 $42,478
65 years and older 69.5 $24,502
A. Quadratic with a < 0
B. Linear with negative slope
C. Quadratic with a > 0
D. Linear with positive slope
(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 = x^2 + x - .
(Type integers or decimals rounded to three decimal places as needed.)