Activity Set 3.8 PREP PPTX Visual Algebra for Teachers

Chapter 3 REAL NUMBERS AND QUADRATIC FUNCTIONS Visual Algebra for Teachers

Activity Set 3.8 WORD PROBLEMS AND QUADRATIC FUNCTIONS Visual Algebra for Teachers

PURPOSE To improve word problem solving skills, including: How to set up the equations How to solve problems involving quadratic equations How to analyze the results

Graphing calculator with table functions MATERIALS

The set up An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modeled by the profit function P(x) is the profit in dollars x is the number of cars made and sold per day Question #1

Write in your coursepack, Activity Set 3.8 #1a Using just the profit function, find the y–intercept Explain what the y-intercept means in reference to this problem; use the units given in the problem in your explanation. Question #1a

Write in your coursepack, Activity Set 3.8 #1b Using the profit function and the quadratic formula, find the x–intercepts of the profit function. Explain what the x-intercepts mean in reference to this problem; use the units given in the problem in your explanation. Question #1b

Write in your coursepack, Activity Set 3.8 #1cd Symbolically determine the turning point of the profit function. Explain what the turning point means in reference to this problem; use the units given in the problem in your explanation Graph the profit function in your coursepack (#1d) Question #1cd

Write in your coursepack, Activity Set 3.8 #1ef Symbolically determine the number of cars the manufacturer should produce in order to maximize the profit. How does this relate to the graph of the function? Symbolically determine the maximum profit. How does this relate to the graph of the function? Question #1ef

You are now ready for: PREP QUIZ 3.8 See Moodle Visual Algebra for Teachers