In the table, x represents minutes, and y represents the altitude of an airplane. Altitude of an Airplane Minutes, x Altitude in feet, y 15 22 comma 500 20 20 comma 000 25 17 comma 500 30 15 comma 000 Which statement is correct about the slope of the linear function that the table represents?
Answer
A
The slope is negative because as the minutes decrease, the altitude decreases.
B
The slope is positive because as the minutes decrease, the altitude increases.
C
The slope is negative because as the minutes increase, the altitude decreases.
D
The slope is positive because as the minutes increase, the altitude increases.
Explanation
Each time the minutes increase by 5, the altitude decreases by 2,500 feet. For example, from 15 to 20 minutes, the altitude changes from 22,500 to 20,000 feet, so the slope is −2,500 ÷ 5 = −500 feet per minute. Therefore, the slope is negative because the altitude decreases as the minutes increase.
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