You are planning to Cowboy Hats during the

Answer the problems below and show or explain how you arrived at your final answer. 1. You are planning to Cowboy Hats during the roundup and rodeo season in your town. You are viewing sales of cowboy hats for the previous 10 years to plan your supplies for each day. You find that the following equation models your sales of cowboy hats each day for the period of time during this season (x = 1 is the day the cowboy hats go on sale): Cowboy Hats = -0.4x2 + 20x + 10

a. What happens to the sales of cowboy hats as time passes? (10% of grade)

b. Use the Quadratic equation to determine the last day that cowboy hats will be sold. (20% of grade)

c. After how many days will the peak in sales of cowboy hats occur? (20% of grade)

d. How many cowboy hats will be sold on the day the peak occurs? (20% of grade)

e. What will be the coordinates on a graph of the vertex? (10% of grade)

f. How many solutions are there to the equation “-0.4x2 + 20x + 10 = 0” and how do you know this? (10% of grade)

g. What do the solutions in “part f” represent? Do any of the solutions not make sense? Why or why not? (10% of grade)