The graph below shows the relationship between the number of months different students practiced boxing and the number of matche
s they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
2 answers:
Answer: The answers are given below.
Step-by-step explanation: Given that the graph shows the relationship between the number of months different students practiced boxing and the number of matches they won:.
<em><u>Part A :</u></em> We are to find the approximate y-intercept of the line of best fit and state what does it represent.
From the graph, we note that
at x = 0, the value of y is approximately 3.
So, the approximate y -intercept of the line of best fit is 3.
It represents that before starting the matches, the students can win 3 matches without any practice.
<em><u>Part B :</u></em> We are to write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice.
From the graph, we note that the line of best fit passes through the points (2, 7) and (9, 18).
So, the slope of the line of best fit will be
Therefore, the slope-intercept form of the equation of the line of best fit is given by
Thus, the number of matches that could be won after 13 months of practice is
That is, students can win 23 matches with 13 months of practice.
You might be interested in
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².