Franklin Township Public Schools / Overview



Station 1A touch tank has a height of 3 feet. Its length is three times its width. The volume of the tank is 270 cubic feet. Find the length and width of the tank. Station 2The area of an equilateral triangle with a side length of s is given by the formula A=34s2. Solve the formula for s. Then approximate the side length of the traffic sign that has an area of 390 square inches.Station 3The design of a square rug for your living room is shown. You want the area of the inner square to be 25% of the total area of the rug. Find the side length x of the inner square. Station 4You decide to use chalkboard paint to create a chalkboard on a door. You want the chalkboard to cover 6 square feet and to have a uniform border, as shown. Find the width of the border to the nearest inch. Station 5You have 80 feet of fencing to make a rectangular horse pasture that covers 750 square feet. A barn will be used as one side of the pasture, as shown. a. Write equations for the amount of fencing to be used and the area enclosed by the fencing. b. Use substitution to solve the system of equations from part (a). What are the possible dimensions of the pasture? Station 6You are building a rectangular brick patio surrounded by a crushed stone border with a uniform width, as shown. You purchase patio bricks to cover 140 square feet. Find the width of the border. Station 71. The product of two consecutive odd integers that are negative is 195. Write and solve an equation to find the integers. 2. Mark travels due north from home. His wife Kay works due west. They leave for work at the same time. By the time Mark is 10 miles from home, the distance between them is 2 miles more than Kay’s distance from home. How far from home is Kay?Station 8NASA creates a weightless environment by flying a plane in a series of parabolic paths. The height h (in feet) of a plane after t seconds in a parabolic flight path can be modeled by h=-11t2+700t+21000. The passengers experience a weightless environment when the height of the plane is greater than or equal to 30,800 feet. For approximately how many seconds do passengers experience weightlessness on such a flight? Explain ................
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