To determine which system of equations could represent the two tables recorded by Julius, you would typically need to examine the data in the tables. Since I don't have access to images, I'll explain how you can go about solving this problem.
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Identify Points from Each Table: Look for pairs of (x, y) coordinates that represent the entries in each table.
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Find the Equations of Lines: For each table's data points, you will need to derive the linear equation that best fits those points. You can do this by using the slope-intercept form \( y = mx + b \), where:
- \( m \) is the slope (change in y over change in x),
- \( b \) is the y-intercept (the value of y when x = 0).
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Select the Correct System of Equations: After deriving the equations for the data points in each table, check against the provided options to see which pair matches your derived equations.
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Validation: You can validate by substituting key points from the tables into the equations to see if they satisfy both equations.
Please go through these steps, and if you have specific (x, y) points from the tables, I can help you derive the equations!
3 answers