Mathematics, 30.11.2019 12:31 jagdeep5533

Acandle burns down at the rate of 0.5 inches per hour. the original height of the candle was 9 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, 9) would represent a height of 9 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 0.45 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)

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You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs: (0,9) (1,8.55) (2,8.1)

Answer from: TookMurr

A) Function would be: (0, 9) (1, 8.5) (2, 8) (3, 7.5) (4, 7) (5, 6.5) (6, 6)

Increase x-coordinate by 1 at each instance (time is increasing in hours) and decrease y-coordinate by 0.5 (height is decreasing)

B) Ordered Pairs: (0, 9) (1, 8.5) (2, 8) (3, 7.5) (4, 7) (5, 6.5) (6, 6)

As y-coordinate is not repeating for different x-values, "It is a Function"

C) Ordered Pairs: (0, 9) (1, 8.55) (2, 8.10), (3, 7.65), (4, 7.20), (5, 6.75)

Again, "It is a Function" as y-coordinate is not repeating for different y-'s. We've just decreased the y's, it doesn't affect x-coordinate, so the nature of our function won't change

Hope this helps!

Answer from: Quest

I’m pretty sure the slope would be 1 since the x and y values increase by 1
What is the slope of the line in the graph? 3+.2+-4-2-14 1 2 3 4 5 %2+-3 +

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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Acandle burns down at the rate of 0.5 inches per hour. the original height of the candle was 9 inche...

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