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You and a friend are hiking and find yourselves near the top of a waterfall. There is a path to hike down that takes 1.4 miles to reach the bottom safely and go swimming. There is also a path that is 1.1 miles down to a great place to eat lunch. Your friend wants to stay at the top of the waterfall and fly his drone overhead to take pictures from the sky. A drone is a flying robot that can be remotely controlled with computer software or technology. Draw a vertical number line to help you answer the questions.

Part A: How far would the drone need to fly up in the air to be the opposite distance from you when you are eating lunch? (3 points)

Part B: How far would the drone need to fly up in the air to be the opposite distance from you when you are swimming? (3 points)

Part C: What does the value of zero represent in this problem? (3 points)

Part D: Use absolute value to show that if you hike down to go swimming and then hike back to the top to meet your friend that you hiked the same distance in both directions


Sagot :

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