If each cube has edges .5 inches long, what is the volume of the prism outlined in blue?

A) 1.5 in3
B) 7.5 in3
C) 30 in3
D) 60 in3

The answer is indeed B) 7.5 in3. I had this question on USATestprep.

When a graph is transformed, it could be translated, reflected, dilated, or rotated. However, no matter what kind of transformation that is, it does not change the nature of the graph. A line would still be a line; a curve would still be a curve. So, that is my basis for my solution. There is no need to graph the problem. You only need to find the equation of g(x) through the two points given: (2,0) and (3,2)

m = Δy/Δx = (2-0)/(3-2) = 2

Use point (2,0) to find b:

y = mx + b

0 = 2(2) + b

b = -4

So, g(x) = 2x - 4