### MATH 105 Quiz 2

Name:
You may use a calculator on this quiz. You may not use a cell phone or computer. To receive full credit please show your work carefully and give justifications for your answers. If you find that you are spending a lot of time on one problem, leave it blank and move on to the next.
 Perimeter of rectangle = 2L + 2W Area of rectangle = L W Perimeter of circle = 2 π r Area of triangle = 1/2 b h Pythagorean theorem: a2 + b2 = c2 Area of circle = π r2 Surface area of box = 2 L W + 2 L H + 2 H W Volume of box = L W H Surface area of cylinder = π r2 + 2 π r h Volume of cylinder = π r2 h Surface area of sphere = 4 π r2 Volume of sphere = 4/3 π r3
1. (10 points) Find the volume of a box which is 3 feet high, 2 feet wide and 4 feet long. Be sure to use the correct units in your answer.

2. Suppose 22 candy apples fit in one cubic foot of space.

a) (10 points) About how many candy apples fit in a box with a volume of 4 cubic feet?

b) (20 points) About how many candy apples fit in a cylindrical tin of height 2 feet and radius r? (Your answer should be an algebraic expression using the variable r.)

3. (20 points) Evaluate (3 + x)/(x - 2) when x = 4.

4. (20 points) Solve P = 2L + 2W for L.

5. (20 points) In the table below, x is the independent variable and y is the dependent variable. Does this table represent a function? Explain.

 x 3 4 3 -4 y 2 4 6 8

Bonus (5 points) The graph of a function is shown below. For what values of x does y = 5?