A roofer needs to repair some shingles on the roof of a house, and uses a 12 foot ladder to reach the roof. In order to clear th
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a.
b. For every month the pine tree grows about 0.67 inches.
c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.
<h2>Explanation:</h2><h3>PART A.</h3>In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:
It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.
The point slope form of the equation of a line is:
Finding (m):
Finally, the equation of the line is:
In this case, we have that:
- The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
- The y-axis represents the <em>Height of the Tree </em>in inches.
Since the slope o a line is:
Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>
<h3>PART C.</h3>The y-intercept can be found setting . So, from our equation:
So the y-intercept is and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>
Slope Intercept form: brainly.com/question/4192440
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