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I need someone to help me today in math(I'm working on functions)
Ill be giving away points and brainliest all day
Here is the first one

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 :

sqdancefan

9514 1404 393

Answer:

  A. (0, 6), (1, 5.5), (2, 5), (3, 4.5), (4, 4), (5, 3.5)

  B. is a function

  C. is a function

Step-by-step explanation:

Both relations are functions.

A relation is NOT a function if the same input value maps to two different output values. Virtually any relation involving time as an input will be single-valued: a measure can only have one value at any given time (ignoring quantum physics).

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A: If height decreases 1/2 inch per hour, then some ordered pairs could be ...

  (hours, inches) = (0, 6), (1, 5.5), (2, 5), (3, 4.5), (4, 4), (5, 3.5)

For each additional hour, 0.5 inches was subtracted from height.

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B: There is only one output for each input, so the relation is a function.

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C: Yes, the relation is still a function. There is still only one output value for each input value.

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