Thank you for visiting A construction manager is monitoring the progress of the build of a new house The scatterplot and table show the number of months since the. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the function that best models the data, we can determine the equation of the line that best fits the given data points using a linear function. The data points are:
- Months ([tex]$x$[/tex]): 0, 1, 2, 3, 4, 5
- Percentage left to build ([tex]$y$[/tex]): 100, 86, 65, 59, 41, 34
The goal is to check each provided linear function to see which one best matches the pattern of this data.
Let's verify the options:
1. [tex]$y = -135x + 97.8$[/tex]
2. [tex]$y = -13.5x + 7.3$[/tex]
3. [tex]$y = 97.8x - 135$[/tex]
4. [tex]$y = 7.3x - 97.8$[/tex]
Through analysis, we determine the following:
1. Slope and Intercept:
- Calculating the slope and intercept through a fitting process, we find:
- Slope (rate of change): Approximately -13.46
- Intercept (initial value when [tex]$x=0$[/tex]): Approximately 97.81
2. Matching with Functions:
- Option 1: The slope (-135) and intercept (97.8) clearly do not match our findings.
- Option 2: The slope (-13.5) is close to -13.46, but the intercept (7.3) is far from 97.81.
- Option 3: The slope (97.8) and intercept (-135) do not match our determined values.
- Option 4: The slope (7.3) and intercept (-97.8) do not match our findings.
Based on our findings, none of the options perfectly matches the calculated slope and intercept values from the data. If we round the slope to -13.5 and the intercept to 97.8, Option 2 might appear close in its slope value but is incorrect for the intercept.
Thus, none of the provided functions exactly model the calculated slope and intercept from the data.
- Months ([tex]$x$[/tex]): 0, 1, 2, 3, 4, 5
- Percentage left to build ([tex]$y$[/tex]): 100, 86, 65, 59, 41, 34
The goal is to check each provided linear function to see which one best matches the pattern of this data.
Let's verify the options:
1. [tex]$y = -135x + 97.8$[/tex]
2. [tex]$y = -13.5x + 7.3$[/tex]
3. [tex]$y = 97.8x - 135$[/tex]
4. [tex]$y = 7.3x - 97.8$[/tex]
Through analysis, we determine the following:
1. Slope and Intercept:
- Calculating the slope and intercept through a fitting process, we find:
- Slope (rate of change): Approximately -13.46
- Intercept (initial value when [tex]$x=0$[/tex]): Approximately 97.81
2. Matching with Functions:
- Option 1: The slope (-135) and intercept (97.8) clearly do not match our findings.
- Option 2: The slope (-13.5) is close to -13.46, but the intercept (7.3) is far from 97.81.
- Option 3: The slope (97.8) and intercept (-135) do not match our determined values.
- Option 4: The slope (7.3) and intercept (-97.8) do not match our findings.
Based on our findings, none of the options perfectly matches the calculated slope and intercept values from the data. If we round the slope to -13.5 and the intercept to 97.8, Option 2 might appear close in its slope value but is incorrect for the intercept.
Thus, none of the provided functions exactly model the calculated slope and intercept from the data.
Thank you for reading the article A construction manager is monitoring the progress of the build of a new house The scatterplot and table show the number of months since the. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
