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?

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?

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

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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