Question

A shoe salesman is stacking shoe boxes on top of a display case. The following table shows how the height above the floor of the topmost box depends on the number of boxes. What is a rule for the height?

Answer 1

To determine the rule for the height above the floor of the topmost box, we can analyze the given table:

Number of Boxes (x) | Height Above the Floor (y)
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1 | 2 ft
2 | 4 ft
3 | 6 ft
4 | 8 ft

From the table, we can observe that the height above the floor of the topmost box increases by 2 feet for each additional box added.

Therefore, the rule for the height above the floor of the topmost box is:

Height Above the Floor = 2 * (Number of Boxes)

Alternatively, we can also express the rule using a formula:

y = 2x, where y represents the height above the floor and x represents the number of boxes.