Acandle 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)

plz

Let x be the number of hours.
then height in each hour y=6-0.5x
when x=0,y=6-0=6
so pair is (0,6)
when x=2,y=6-0.5*2=6-1=5
so pair is (2,5)
when x=4
y=6-0.5*4=6-2=4
so pair is (4,4)
when x=6
y=6-0.5*6=6-3=3
so point is (6,3)
when x=8
y=6-0.5*8=6-4=2
so point is (8,2)
when x=10
y=6-0.5*10=6-5=1
so point is (10,1)

Part A
the candle is burning at a rate of .5 inches an hour. this is your slope.
the candle's starting point is 6 inches. this is your y-intercept.
you now have an equation of y= 0.5x + 6
to get 6 ordered pairs, you must substitute values in for x. for example, I substitute 4 in for x, and so I must now do 0.5 * 4, which is 2, and then add 6, which is 8. I get the ordered pair (4,8), making it 1 out of 6 that I need
five other ordered pairs: (0,6) (2,7) (6,9) (10,11) (12,12)
explanation for how is in the bolded script

Part B
This relation is in fact a function- it is able to have all real numbers for its x-values, meaning its domain is all real numbers, same with its y-values/range. Since when I graph the equation y= 0.5x + 6 , I am able to see a linear, non-discrete line, and I can have 1.02 as a value for x, or I can have the x values listed above in the ordered pairs

Part C
The candle now has a rate of 0.3 inches per hour, making this the slope.
The candle is still starting at 6 inches, making the equation this:
y= 0.3x + 6
This will still continue to be a function because no matter what you substitute for x, you will always find its solution on the line you graphed. (input values being x values and output values being y values)

I hope this helps!

The answer is option c.