1. 1. A manufacturing company finds that they can sell 100 items at $3.50 per item and 200 items at $3.00 per item. If the relationship between the number of items sold x and the price per item p is a linear one: Find a formula that gives x in terms of p: x=_____Now use the formula to find the number of items they will sell if the price per item is $2.50. They will sell ______ items if the price is $2.50.

2. A ball is tossed into the air so that the height after 1, 3 and 4 seconds is as given in the following table.

If the relationship between the height of the ball h and the time t is quadratic, then the relationship can

be written as: h=at²+bt+c. Use the information in the table to write system of three equations in three variables a, b, and cc. Solve the system to find the exact relationship between h and t.

t	h
1	96
3	64
4	0

(a) _________, (b) __________, (c) __________