In the report "Expenditures on Children by Families," the U.S. Department of Agriculture projected the yearly child-rearing expenditures on children from birth through age 17. For a child born in 2010 to a two-parent middle-income family, the report estimated annual expenditures of $10,808 when the child is 6 years old, and $14,570 when the child is 15 years old. (a) Using the above information, write the two ordered pairs of the form (child's age, annual expenditure). (Let c represent the child's age and y represent annual expenditure.) (c, y) = | (smaller c-value) (c, y) = |(larger c-value) (b) Assume the relationship between the child's age c and the annual expenditures y is linear. Use your answers to part (a) to write an equation in slope-intercept form that models this relationship. (c) What are the projected child-rearing expenses when the child is 11 years old?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...
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In the report "Expenditures on Children by Families," the U.S. Department of Agriculture projected the yearly child-rearing expenditures on children from birth through age 17. For a child born in 2010
to a two-parent middle-income family, the report estimated annual expenditures of $10,808 when the child is 6 years old, and $14,570 when the child is 15 years old.
(a) Using the above information, write the two ordered pairs of the form (child's age, annual expenditure). (Let c represent the child's age and y represent annual expenditure.)
(с, у)
(smaller c-value)
%D
(с, у) 3
|(larger c-value)
(b) Assume the relationship between the child's age c and the annual expenditures y is linear. Use your answers to part (a) to write an equation in slope-intercept form that models this
relationship.
(c) What are the projected child-rearing expenses when the child is 11 years old?
Transcribed Image Text:In the report "Expenditures on Children by Families," the U.S. Department of Agriculture projected the yearly child-rearing expenditures on children from birth through age 17. For a child born in 2010 to a two-parent middle-income family, the report estimated annual expenditures of $10,808 when the child is 6 years old, and $14,570 when the child is 15 years old. (a) Using the above information, write the two ordered pairs of the form (child's age, annual expenditure). (Let c represent the child's age and y represent annual expenditure.) (с, у) (smaller c-value) %D (с, у) 3 |(larger c-value) (b) Assume the relationship between the child's age c and the annual expenditures y is linear. Use your answers to part (a) to write an equation in slope-intercept form that models this relationship. (c) What are the projected child-rearing expenses when the child is 11 years old?
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ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College