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?
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)
----------------------------------
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.
To determine the rule for the height of the topmost box based on the number of boxes, we can analyze the data given in the table. The table should include the values of the number of boxes and the corresponding heights above the floor.
Number of Boxes | Height (above floor)
-----------------|------------------------
1 | 2 feet
2 | 4 feet
3 | 6 feet
4 | 8 feet
From the provided data, we can observe that for each additional box added to the stack, the height above the floor increases by 2 feet. This indicates a linear relationship between the number of boxes and the corresponding height.
Therefore, the rule for the height above the floor of the topmost box can be expressed as follows:
Height (above floor) = 2 * (Number of Boxes) feet
By applying this rule, you can calculate the height above the floor for any given number of boxes.