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A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? Explain your answer using input and output values. (3 points)

User John Ingle
by
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1 Answer

10 votes

Answer:

Part A: 0,6 1, 5.5 2,5.0 3,4.5 4,4.0 5,3.5 6,3.0

Explanation:

Part B: This would be a function, it has a constant rate of change.

Part C: 0,6 1,5.7 2,5.4 3,5.1 4,4.8 5,4.5 6,4.2, this would still be a function, just at a slower rate of speed.

User Victor Istomin
by
5.5k points
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