Problem 21
You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, \(A\), as a function of one of its dimensions, \(x\).
Problem 22
You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, \(A\), as a function of one of its dimensions, \(x\).
Problem 22
Find the domain of each function. $$g(x)=\sqrt{7 x-70}$$
Problem 23
As in Exercise \(21,\) you have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies along a canal and requires no fencing. Express the area of the field, \(A,\) as a function of one of its dimensions, \(x.\)
Problem 26
Find the domain of each function. $$h(x)=\sqrt{x-3}+\sqrt{x+4}$$
Problem 26
You have 1200 feet of fencing to enclose a rectangular region and subdivide it into three smaller rectangular regions by placing two fences parallel to one of the sides. Express the area of the enclosed rectangular region, \(A\), as a function of one of its dimensions, \(x\)
Problem 27
A new running track is to be constructed in the shape of a rectangle with semicircles at each end. The track is to be 440 yards long. Express the area of the region enclosed by the \(\operatorname{track}, A,\) as a function of its radius, \(r\).
Problem 27
Find a linear finction in slope-intercept form that models the given description. Each function should model the percentage of total spending, \(p(x),\) by Americans \(x\) years after \(1950 .\) In \(1950,\) Americans spent \(22 \%\) of their budget on food. This has decreased at an average rate of approximately \(0.25 \%\) per year since then. (THE GRAPH CANNOT COPY)
Problem 29
A contractor is to build a warehouse whose rectangular floor will have an area of 4000 square feet. The warehouse will be separated into two rectangular rooms by an interior wall. The cost of the exterior walls is \(\$ 175\) per linear foot and the cost of the interior wall is \(\$ 125\) per linear foot. Express the contractor's cost for building the walls, \(C,\) as a function of one of the dimensions of the warehouse's rectangular floor, \(x\).
Problem 30
The area of a rectangular garden is 125 square feet. The garden is to be enclosed on three sides by a brick wall costing \(\$ 20\) per foot and on one side by a fence costing \(\$ 9\) per foot. Express the cost to enclose the garden, \(C\), as a function of one of its dimensions, \(x\)