Interpret story problems into mathematical equations. Use variables given or if not given use appropriate variables and declare their representation. Do not solve. Attach this to the front of your work. 1. The perimeter of a rectangle is 200 inches. Express the length as a function of width. 2. If the area of a rectangle is 45 square meters, write the perimetCr of the rectangle in terms of the width only. 3. An offshore oil rig is located at point A, which is 10 miles out to sea. An oil pipline is to be constructed from point A to a point C on the shore and then to a point D, farther up the coast. If it costs $7? million per mile to lay the pipeline in the sea and $1.5 million per mile on land, express the cost of laying the pipeline in terms of x, where x is the distance from B to C. 50 miles 4. Given the object below, express the perimeter in terms of x only given that the area of the triangular section is 50 inz. I x 5. A window consisting of a rectangle topped by a semicircle is to have a perimeter, 100 inches. Express the area of window in terms of the radius of the semicircle. 6. A square base box has a volume of 500 9:3. The cost of the material for the top and bottom (square base) of the box is $18 per ft.2. The cost for the sides is $3 per 11.2. Express the total cost of this box in terms of one the lengths of the base. T. A rectangular Outdoor pen is to be added to one of the 100's animal houses. If 85 meters of new fence is available, express the area of the pen in terms of the largest length of the pen. You can assume that the fence is not needed along the walls of the house. 8. A rectangular dance oor of width w and length L feet is to be built inside a semicircular part of a room of radius 30 feet. Express the area of the rectangle in terms of the width. i starts from the center of the circle. A I 9. A Florida citrus grower estimates that if 150 orange trees are planted, the average yield per tree will be 500 oranges. The average yield per tree will decrease by 10 oranges for each additional tree planted on the same acreage. Express the total yield as a function of the number of trees greater than 150 trees planted. 10. A rectangle with its base on the x-axis is inscribed in the region bounded by its base, the curve x) = x2, and the linex = 3. The drawing is given below. Express the area of the rectangle in terms ofx only. J' I 3 l l. A square and a circle have a combined linear length of 20 inches. (i) Express the total combine Area in terms of the radius of the circle. (ii) Express the total combine Area in terms the one side of the square. (iii) Express the total combine Area in terms of the Circumference of the circle