cxldstars
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:

Part A: What is the approximate y-intercept of the line of best fit and what does it represent?

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.

The Graph Below Shows The Relationship Between The Number Of Months Different Students Practiced Tennis And The Number Of Matches They WonPart A What Is The App class=

Sagot :

fieryanswererft

Answer:

(a) (i) y-intercept = 3

    (ii) Represents that the team won 3 matches without any practice.

(b) (i) Equation: y = 1.8x + 3,  

    (ii) 26 matches won

The approximate y-intercept can be determined by seeing when the best fit line crosses the y axis.

Part A

Here the best line crosses the y-axis when y = 3. So coordinates: (0, 3)

Part B

Take two best points touching the line: (0,3), (5, 12)

[tex]\sf slope \ (m) = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{12-3}{5-0} = 1.8[/tex]

Equation:

y - y₁ = m(x - x₁)

y - 3 = 1.8(x - 0)

y = 1.8x + 3

So, after 13 months of practice: y = 1.8(13) + 3 = 26.4 ≈ 26 matches won.

#1

The y intercept should represent how much matches the team won without practice

Here its 3

  • (0,3)

#2

  • (0,3)
  • (5,12)

Slope

  • m=12-3/5
  • m=9/5

Equation in point slope form

  • y-3=9/5x
  • y=9/5x+3

After 13 months

  • y=9/5(13)+3=117/5+3

Approximately 26matches

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.