1. In a science experiment, a student is studying the relationship between the temperature and the growth of a plant. She develops the following quadratic model: h = -0.0625 + 3t - 20, where h is the height of the plant, in cm, and t is the growing temperature, in C. a. Determine the temperatures that result in a plant height of zero. (A - 2 Marks) b. Use your result from part a) to find the temperature that will maximize the height of the plant. (T - 2 Marks) c. Use the equation to determine the height of the plant grown at a temperature of 5 .C. (A - 1 Mark) d. State the domain of the mathematical model. (C - 1 Mark) e. Use your results above to construct a graph for this relation. (A - 3 Marks) 2. A large greenhouse is to be built and subdivided into six rectangular areas as shown. The building budget allows for a total 600 metres of walls. This results in the following quadratic model between the total area A, in square metres, and length, x metres, of the greenhouse: A = -0.75x2+ 150x. a. Find the zeros of this relation. (A - 2 Marks) Interpret the meaning of the zeros in the context of this question. (C - 1 Mark) b. What length results in the greatest possible area? What is this area? (T - 3 Marks)