Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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).

__

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.

__

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

__

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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.