5. A tour company has a ticket price that goes down $2 for every additional person who signs up for a group trip. They charge, per person, 52- 2n where n is the number of people that go on the trip. Their total revenue, R, as a function of the number of people who go on the trip is R=52n– 2n². How many people maximize the revenue for the tour company? (1) 13 (3) 26 (2) 39 (4) 22

2. Suppose a pumpkin is shot into the air with a cannon. After t seconds, the height (in feet) of the pumpkin can be represented by the following function, W(t)=-1.4t2 +28t + 5. How long does it take the pumpkin to reach its maximum height? Solve algebraically (Hint: draw a sketch.) a.

The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.