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Which situation results in a change that could be modeled by a negative number?



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a change in elevation from sea level to 87 feet
a change in elevation from sea level to 87 feet

a change in elevation from 632 feet to 312 feet
a change in elevation from 632 feet to 312 feet

a change in elevation from 492 feet to 783 feet
a change in elevation from 492 feet to 783 feet

a change in elevation from –12 feet to 123 feet
a change in elevation from –12 feet to 123 feet

1 answer

To determine which situation results in a change that could be modeled by a negative number, we can evaluate the changes in elevation in each option.

  1. A change in elevation from sea level to 87 feet: This is a positive change since you are going up from sea level (0 feet) to 87 feet.

  2. A change in elevation from 632 feet to 312 feet: This is a negative change because you are going down from 632 feet to 312 feet. The calculation would be 312 - 632 = -320 feet.

  3. A change in elevation from 492 feet to 783 feet: This is a positive change as you are going up from 492 feet to 783 feet.

  4. A change in elevation from –12 feet to 123 feet: While this does represent an upward change, it is not inherently negative by itself; the change calculation is 123 - (-12) = 135 feet, which is positive.

Based on this analysis, the situation that results in a change modeled by a negative number is:

A change in elevation from 632 feet to 312 feet.