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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)

Sagot :

Answer:

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

Step-by-step 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.

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