Which statement correctly converts a slope of 3:1 into inches per foot?

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Multiple Choice

Which statement correctly converts a slope of 3:1 into inches per foot?

Explanation:
To convert a slope of 3:1 into inches per foot, it's important to understand the meaning of the ratio. A slope of 3:1 indicates that for every 1 unit of horizontal distance, there is a vertical change of 3 units. In this case, when discussing inches per foot, we need to interpret "foot" as 12 inches. Based on the 3:1 ratio: 1. For a horizontal run of 12 inches (which constitutes 1 foot), the vertical rise can be calculated using the slope ratio. 2. Since the slope is 3 feet of vertical rise for every 1 foot of horizontal run, you would have a rise of 3 inches for every 1 inch of horizontal distance. When translating this slope into inches per foot: - For every 12 inches horizontally, you would also have a vertical change of 36 inches (because the rise is three times the horizontal distance). - This gives you a total of 3 inches of rise (the equivalent of one linear unit on a graph) for every incremental unit of foot horizontally. Thus, this results in a final calculation of 3 inches of vertical rise corresponding to every 12 inches of horizontal distance. However, none of

To convert a slope of 3:1 into inches per foot, it's important to understand the meaning of the ratio. A slope of 3:1 indicates that for every 1 unit of horizontal distance, there is a vertical change of 3 units. In this case, when discussing inches per foot, we need to interpret "foot" as 12 inches.

Based on the 3:1 ratio:

  1. For a horizontal run of 12 inches (which constitutes 1 foot), the vertical rise can be calculated using the slope ratio.

  2. Since the slope is 3 feet of vertical rise for every 1 foot of horizontal run, you would have a rise of 3 inches for every 1 inch of horizontal distance.

When translating this slope into inches per foot:

  • For every 12 inches horizontally, you would also have a vertical change of 36 inches (because the rise is three times the horizontal distance).

  • This gives you a total of 3 inches of rise (the equivalent of one linear unit on a graph) for every incremental unit of foot horizontally.

Thus, this results in a final calculation of 3 inches of vertical rise corresponding to every 12 inches of horizontal distance. However, none of

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