A candle is 18 in. tall after burning for 3 hours. After 5 hours, it is 16.5 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how
tall the candle will be after burning 8 hours.

12 inches After 8 Hours

Step 1

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))

substitutes the values

M=((15-17)/((5-3)))

M= (-(2)/((2)))

M= -1

Step 2

Find the equation of the line

we know that

the equation of the line in the point-slope form is

y-y1=m*(x-x1)

we have

m=-1

A(3,17)

substitute in the equation

y-17=-1*(x-3)

y=-x+20> this is the linear equation that model the relationship between height h of the candle and time t

Step 3

Find the height for  x=8 hours

substitute the value of x in the linear equation

y=-8+20

y=12 Inches

The height of the candle will be 12 inches  after  8 Hour

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step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this