NOLA hiked down a trail at a steady rate for 10 minutes. Her change in elevation was - 200 feet. Then she continues to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was - 300 feet. During which portion of the hike did she walk down at a faster rate? Explain your reasoning.

Question

Mathematics

Nathanial Michael

30 September, 10:30

NOLA hiked down a trail at a steady rate for 10 minutes. Her change in elevation was - 200 feet. Then she continues to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was - 300 feet. During which portion of the hike did she walk down at a faster rate? Explain your reasoning.

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Answers (1)

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Jada Faulkner · Answer 1

Well, there are a few ways to go about this problem. The easiest would be to compare the rates.

Nola did - 200 feet in 10 min so we have - 200 / 10

Next, Nola did - 300 in 20 mins so we have - 300/10

Now that we have our slope/rate we can compare the two.

-200 / 10 = - 20 ft/min

-300 / 20 = - 15 ft/min

As we can see, Nola walked down during the first portion at a faster rate, which she went down - 20 ft/min