Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 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, 8) would represent a height of 8 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 burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Sagot :

MrRoyal

The ordered pairs are (0,8), (1, 7.5), (2, 7), (3,6.5), (4, 6) and (5, 5.5)

How to determine the ordered pairs?

The given parameters are:

Initial height, h = 8 inches

Rate = 0.5 inches per hour

The height of the candle at x hour is:

y = Initial - rate * x

This gives

y = 8 - 0.5x

Set x  = 0 to 5

y = 8 - 0.5(0) = 8

y = 8 - 0.5(1) = 7.5

y = 8 - 0.5(2) = 7

y = 8 - 0.5(3) = 6.5

y = 8 - 0.5(4) = 6

y = 8 - 0.5(5) = 5.5

So, the ordered pairs are (0,8), (1, 7.5), (2, 7), (3,6.5), (4, 6) and (5, 5.5)

Is the relation a function?

In (a), we have:

y = 8 - 0.5x

The above is a linear relation.

All linear relations are functions

Hence, the relation is a function.

Would a new relation be a function?

We have

Initial height, h = 8 inches

New rate = 0.4 inches per hour

The height of the candle at x hour is:

y = Initial - rate * x

This gives

y = 8 - 0.4x

The above is a linear relation.

All linear relations are functions

Hence, the new relation is also a function.

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.