What is the maximum area that can be enclosed? (100 m2) What are the dimensions of the pen with the maximum area? (10 m by 10 m) What length produces a pen with an area greater than 90 m2? (between 6.9 m and 13.1 m) A company manufactures and designer T-shirts. The profit, dollars, for selling a certain P style of T-shirt is projected to be where dollars is the selling price of P = -20x2 + 1000x 6720, x – one T-shirt. What are the break even points? ($8 and $42) What selling price gives the maximum profit? What is the maximum profit? ($25, $5780) A life guard marks a rectangular swimming area at a beach with a 200 m rope. The width of the swimming area is metres. The area enclosed is square metres, where What is x A A = x(200 2x). – the greatest area that can be enclosed? (5000 m2) A company manufactures and sells novelty caps. The profit, dollars, for selling a certain style of P cap at dollars each is projected to be What selling price is expected to t P = -15t2 + 90t + 675. give a maximum profit? What is the maximum profit? ($3, $810) A stone is thrown upward with an initial speed of 25 m/s. Its height, metres, after seconds is h t given by the equation For how long is the stone higher than 30 m? (1 sec) h = -5t2 + 25t. When a flare is fired upward at 58.8 m/s, its height, metres, is given by the equation h where seconds is the time since firing. h = -4.9t2 + 58.8t, t Determine the maximum height of the flare and the time it takes to reach this height. (176.4 m, 6 s) For how many seconds is the flare higher than 98 m? (8 s) Seatwork: p. 311 #2-6, 8
What is the maximum area that can be enclosed? (100 m2) What are the dimensions of the pen with the maximum area? (10 m by 10 m) What length produces a pen with an area greater than 90 m2? (between 6.9 m and 13.1 m) A company manufactures and designer T-shirts. The profit, P dollars, for selling a certain style of T-shirt is projected to be P = -20x2 + 1000x – 6720, where x dollars is the selling price of one T-shirt. What are the break even points? ($8 and $42) What selling price gives the maximum profit? What is the maximum profit? ($25, $5780) A life guard marks a rectangular swimming area at a beach with a 200 m rope. The width of the swimming area is x metres. The area enclosed is A square metres, where A = x(200 – 2x). What is the greatest area that can be enclosed? (5000 m2) A company manufactures and sells novelty caps. The profit, P dollars, for selling a certain style of cap at t dollars each is projected to be P = -15t2 + 90t + 675. What selling price is expected to give a maximum profit? What is the maximum profit? ($3, $810) A stone is thrown upward with an initial speed of 25 m/s. Its height, h metres, after t seconds is given by the equation h = -5t2 + 25t. For how long is the stone higher than 30 m? (1 sec) When a flare is fired upward at 58.8 m/s, its height, h metres, is given by the equation h = -4.9t2 + 58.8t, where t seconds is the time since firing. Determine the maximum height of the flare and the time it takes to reach this height. (176.4 m, 6 s) For how many seconds is the flare higher than 98 m? (8 s) Seatwork: p. 311 #2-6, 8
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