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A new skateboard park, in the shape of a rectangle, is to be built along a major road while also using a 50 foot by 50 foot rest area building as a portion of the perimeter. The side parallel to the road, along with the side directly opposite the rest area will be enclosed using a fencing material that costs $3 per foot. For aesthetic purposes, the remaining side will use hedges which cost $4 per foot. Because of the rest area building and road, no fencing material nor hedging is required along these sides. Rest Area Road Skateboard park 4||||||||||| C = For the purposes of this problem, we are going to let x represent the length of the hedges (shown in green) and let y represent the length of the rectangular enclosure for the side running parallel to the road. A y (a) Write an equation for the total cost, C, of the enclosure in terms of x and y. (b) Suppose the total cost of the enclosure is $4000. Express the area, A, of the enclosure as a function of x. (c) Determine an appropriate domain for the function you wrote in part (b). Write your answer using interval notation. Domain:

A new skateboard park, in the shape of a rectangle, is to be built along a major road while also using a 50 foot by 50 foot rest area building as a portion of the perimeter. The side parallel to the road, along with the side directly opposite the rest area will be enclosed using a fencing material that costs $3 per foot. For aesthetic purposes, the remaining side will use hedges which cost $4 per foot. Because of the rest area building and road, no fencing material nor hedging is required along these sides. Rest Area Road Skateboard park 4||||||||||| C = For the purposes of this problem, we are going to let x represent the length of the hedges (shown in green) and let y represent the length of the rectangular enclosure for the side running parallel to the road. A y (a) Write an equation for the total cost, C, of the enclosure in terms of x and y. (b) Suppose the total cost of the enclosure is $4000. Express the area, A, of the enclosure as a function of x. (c) Determine an appropriate domain for the function you wrote in part (b). Write your answer using interval notation. Domain:

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A new skateboard park, in the shape of a rectangle, is to be built along a major road while also using a 50 foot by 50 foot rest area building as a portion of the perimeter. The side parallel to the road, along with the side directly opposite the rest area will be enclosed using a fencing material that costs $3 per foot. For aesthetic purposes, the remaining side will use hedges which cost $4 per foot. Because of the rest area building and road, no fencing material nor hedging is required along these sides. Rest Area X Road C = Skateboard park For the purposes of this problem, we are going to let x represent the length of the hedges (shown in green) and let y represent the length of the rectangular enclosure for the side running parallel to the road. y (a) Write an equation for the total cost, C, of the enclosure in terms of x and y. A = (b) Suppose the total cost of the enclosure is $4000. Express the area, A, of the enclosure as a function of x. (c) Determine an appropriate domain for the function you wrote in part (b). Write your answer using interval notation. Domain:
Transcribed Image Text:A new skateboard park, in the shape of a rectangle, is to be built along a major road while also using a 50 foot by 50 foot rest area building as a portion of the perimeter. The side parallel to the road, along with the side directly opposite the rest area will be enclosed using a fencing material that costs $3 per foot. For aesthetic purposes, the remaining side will use hedges which cost $4 per foot. Because of the rest area building and road, no fencing material nor hedging is required along these sides. Rest Area X Road C = Skateboard park For the purposes of this problem, we are going to let x represent the length of the hedges (shown in green) and let y represent the length of the rectangular enclosure for the side running parallel to the road. y (a) Write an equation for the total cost, C, of the enclosure in terms of x and y. A = (b) Suppose the total cost of the enclosure is $4000. Express the area, A, of the enclosure as a function of x. (c) Determine an appropriate domain for the function you wrote in part (b). Write your answer using interval notation. Domain:
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