Let AB be the directed line segment beginning at point A(1,1) and ending at point B(15,-3). Find the point P on the line segment
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Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and
Then, we can find the slope of the line with the formula :
Now we need to substitute the slope and one of the points into and then solve for "b":
Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute into the linear equation
in order to find the height of the candle after burning 8 hours: