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:

<h3>
PART B.</h3>
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>
<h2>Learn more:</h2>
Slope Intercept form: brainly.com/question/4192440
#LearnWithBrainly
Answer:
r = -1
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(r,7)=(x1,y1) and (3,4)=(x2-y2) and m=-3/5
so plug in...
(4-7)/(4-r)=-3/5
then solve for r which will get that r = -1
numerator: 4-7=-3
denominator: 4-r=5 -> 4-5=0+r -> -1=r
Answer:I believe it is 31 degrees
Step-by-step explanation:
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
Step-by-step explanation:
Let x = number of games that Alex played
The total money that he spent C is given by
If he spent $45, then we can write

Solving for x, we get

This means that Alex played 15 games.