Question

Part A

the beginning of a hiking trail is exactly at sea level. There are three rest stops along the trail. The elevation of the first rest stop is -15 feet. The elevation of the second rest stop is -20 feet. The elevation of the third rest stop is 7 feet. John compares the elevations, in feet, of the first two rest stops by writing the inequality -15 < -20. John states that the inequality he wrote is correct because 15 is less than 20.

Part B Explain whether the inequality Jack writes is correct or incorrect. In your explanation, include a description of each value in the inequality in terms of what it represents. The beginning of a hiking trail is exactly at sea level. There are three rest stops along the trail. The elevation of the first rest stop is -15 feet. The elevation of the second rest stop is -20 feet. The elevation of the third rest stop is 7 feet. John compares the elevations, in feet, of the first two rest stops by writing the inequality -15 < -20. John states that the inequality he wrote is correct because 15 is less than 20. The change in elevation is greatest between the beginning of the trail and which rest stop? Explain your reasoning.


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Answer 1

Part A is incorrect because for negative numbers, the greater the magnitude the smaller the number. -2 is smaller than -1, for example, and -20 is smaller than -15.

An elevation of -15ft means 15 ft below sea level, an elevation of -20ft means 20 ft below sea level, and an elevation of (+) 7ft means 7 ft above sea level.

If John started the trail at sea level (0ft elevation), then the greatest change in elevation would be between that and the second rest stop. Take the absolute value of all the numbers and see which one is the largest.