Answer :
The height of the candle after burning for 2 hours is 16.25 inches.
Given that, a candle is 16 inches tall after burning for 3 hours. after 5 hours, it is 15.5 inches tall.
We need to write a linear equation to model the relationship between the height h of the candle and time t.
What is a linear equation?
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent of more than 1. The graph of a linear equation always forms a straight line.
Let t be the time in hours and h be the height in inches.
Now, the ordered pair of the given situation is A(3, 16) and B(5, 15.5).
Find the slope m of the linear equation between points A and B
We know that the formula to calculate the slope between two points is equal to m=(y2-y1)/(x2-x1)
=(15.5-16)/(5-3)=-0.5/2
=-1/4
We know that the equation of the line in the point-slope form is (y-y1)=m(x-x1)
⇒y-16=(-1/4)(x-3
⇒4y-64=-x+3
⇒4y=-x+3+64
⇒4y=-x+67
We need to find how tall the candle will be after burning for 2 hours.
That is, put x=2
4y=-2+67
⇒4y=65
⇒y=16.25 inches
Therefore, the height of the candle after burning for 2 hours is 16.25 inches.
To learn more about a linear equation visit:
https://brainly.com/question/13738061.
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