Jim and his dad are building a rectangular flower bed. They have a total of 35 feet of landscaping timber to use, and they want to use all of it. However, they are not sure what width and length they want the flower bed to be. In this activity, you will write a function in which the width of the flower bed, w, is the input, and the length, l, is the output. The perimeter of a rectangle is given by the equation 2l + 2w = p. Part A Jim and his dad want to find the length of the garden once they decide its width. Use function notation to write a function that represents its length in terms of the width.
Part B If the width of the flower bed is 15 feet, what is its length? Write your answer as an evaluation of a function.
Part C If Jim and his dad decide to decrease the width of the flower bed from 15 feet, what happens to its length?
Part D What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer.