Question

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.

Answer 1

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

9 = -0.5(0) + c

c = 9

Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

• y=-0.5(1)+9 = 8.5 inches  ⇒ (1,8.5)
• y=-0.5(2)+9 = 8 inches  ⇒ (1,8)
• y=-0.5(3)+9 = 7.5 inches  ⇒ (1,7.5)
• y=-0.5(4)+9 = 7 inches  ⇒ (1,7)
• y=-0.5(5)+9 = 6.5 inches  ⇒ (1,6.5)
• y=-0.5(6)+9 = 6 inches  ⇒ (1,6)

Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

Learn more about Function:

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