10/9/1997

MATH 1142

QUIZ II (25 minutes)

(6 pts) 1) Take two points:

(3 pts) a) Find the slope of the line passing through these points.

(3 pts) b) Write the equation of the line passing through these points in the form y= mx+b.

(6 pts) 2) Since the beginning of the month, a local reservoir has been losing water at a constant rate. On the 12th of the month the reservoir held 200 million gallons of water, and on the 21st it held only 164 million gallons.

(4 pts) a) Express the amount of water in the reservoir as a function of time and draw its graph.

(2 pts) b) How much water was in the reservoir on the 8th of the month?

(2 pts) 3) A closed box with a rectangular base has a volume of 200 cubic inches. Also one of the sides of the base is twice of the other side. Express the surface area of the box as a function of the length of the smaller side of the base.

(6 pts) 4) The hero of a spy story has escaped from the headquarters of an international diamond smuggling ring in the tiny Mediterranean country of Azusa. Our hero, driving a stolen milk truck at 72 kilometers per hour, has a 40-minute head start on his pursuers, who are chasing him in a Ferrari going 168 kilometers per hour. The distance from the smuggler's headquarters to the border, and freedom, is 83.8 kilometers. Will our hero make it?