Question

Compare the area of the bases. If a base has a greater area, it will take up more space on the shelf. Base area of Box 1: 3x2 Base area of Box 2: 4x2 – x Which box is likely to occupy more space on the shelf? Explain. Try substituting different values for x.

Answer 1

Answer:

If x = 1, the base areas are the same. But if x is greater than 1, then Box 2 has a greater base area. Therefore, Box 2 is likely to occupy more space on the shelf.

Step-by-step explanation:

Answer 2

Answer:

  Box 2

Step-by-step explanation:

A graph shows that 3x^2 > (4x^2 -x) only between x=0 and x=1. Thus, Box 2 has a larger base area for all other values of x.

Box 2 is likely to take up more space if x is unlikely to be between 0 and 1.