Lumber that is used to frame walls of houses is frequently sold in multiples of 2 ft. If the length of a board is not exactly a multiple of 2​ ft, there is often no charge for the additional length. For​ example, if a board measures at least 8​ ft, but less than 10​ ft, then the consumer is charged for only 8 ft. ​(a) Suppose that the cost of lumber is ​$0.70 every 2 ft. Find a formula for a function​ f(x)that computes the cost of a board x feet long for 10≤x≤16. ​(b) Determine the costs of boards with lengths of 8.6 ft and 15.1 ft.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Lumber that is used to frame walls of houses is frequently sold in multiples of 2 ft. If the length of a board is not exactly a multiple of 2​ ft, there is often no charge for the additional length. For​ example, if a board measures at least 8​ ft, but less than 10​ ft, then the consumer is charged for only 8 ft. ​(a) Suppose that the cost of lumber is ​$0.70 every 2 ft. Find a formula for a function​ f(x)that computes the cost of a board x feet long for 10≤x≤16. ​(b) Determine the costs of boards with lengths of 8.6 ft and 15.1 ft.

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