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Sagot :
Answer: 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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