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Answer :
The height of the candle after 14 hours given the linear function of the amount of time in hours it has been burning is 23.6 centimeters.
How to solve linear function?
Let
- y = height
- x = time
Height is a linear function of time
Y = mx + b
where,
- m = slope
- b = y-intercept.
We can calculate the slope from the given values
(5, 24.5) and (18, 23.2)
Slope = (y2 - y1) / (x2 - x1)
= (23.2 - 24.5) / (18 - 5)
= -1.3 / 13
= -0.1
y = mx + b
24.5 = -0.1(5) + b
24.5 = -0.5 + b
24.5 + 0.5 = b
25 = b
y = mx + b
23.2 = -0.1(18) + b
23.2 = -1.8 + b
23.2 + 1.8 = b
25 = b
So therefore,
The height of a candle after 14 hours can be calculated by substituting all the unknown values.
y = mx + b
y = -0.1(14) + 25
y = -1.4 + 25
y = 23.6 centimeters
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