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.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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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