1. A hockey club had 7200 season ticket holders who each paid $1400 for a package of season tickets. The general manager suggested that more revenue might be obtained by decreasing the price and thus attracting more fans to buy a season tickets. A research company reported that for every $50 decrease in price approximately 400 new season ticket holders would be generated.
a. Determine an equation, in standard form, that would represent the revenue generated from the season ticket sales. (1 mark)
b. What price should the hockey club charge for the season tickets to generate the maximum revenue? (1 mark)
c. How many season ticket packages would they expect to sell at the new price? (1 mark)
d. What is the maximum revenue the hockey club would generate? (1 mark)
2. In what step of the solution below did the student make the first mistake?
Step 1: $y=4x^2+24x-11$
Step 2: $y=4(x^2+24x)-11$
Step 3: $y=4(x^2+24x+144-144)-11$
Step 4: $y=4(x^2+24x+144)-144-11$
Step 5: $y=4(x+12)^2-155$
3. Bailey used the quadratic formula to determine the roots of the equation $2x^2+80=-25x$ to the nearest tenth, the root is
4. What are the roots of the quadratic function
$y=x^2-2x-35$
5. Find all the values of c such that $-4x^2+8x+c$ has two real roots.