To determine which system of linear equations the table of values represents, we need to analyze the values for \( y_a \) and \( y_b \) based on the given \( x \) values.
For \( y_a \):
- When \( x = 0 \), \( y_a = 3 \)
- When \( x = 1 \), \( y_a = 6 \)
- When \( x = 2 \), \( y_a = 9 \)
The pattern shows that as \( x \) increases by 1, \( y_a \) increases by 3, which suggests that \( y_a = 3x + 3 \).
For \( y_b \):
- When \( x = 0 \), \( y_b = 18 \)
- When \( x = 1 \), \( y_b = 1312 \) (This number seems misinterpreted; it should likely be a typo. Assuming it meant to be a separate constant.)
- When \( x = 2 \), \( y_b = 9 \)
The second \( y_b \) value also appears likely incorrect. However, we can work with the first and second values we see directly before moving onto analysis.
Verifying Values:
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The equation for \( y_a \) increases consistently, while interpreting the suitable second equation for \( y_b \):
- It dampens quickly or grows in a non-linear fashion around the first and second points.
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The simplified xy value probably looks like a Negative slope as \( y_b \) appears steeply diverged or changed.
Based on analysis:
- For
y_a: We find \( y = 3x + 3 \) - For
y_b: Appears like an inaccurate spike - inferring it could be often considered to localize toy = -3x + 18. It's qualitatively dipping a path the reads as \(-3x +18\), rewriting intersected into possible values \(1/2x + 18\)
Conclusion: Among the choices presented not perfectly aligned based on exact transforming equations observed but the most fitting to our variables and assumptions:
{y=3x+3, y=−3x+18} mathematically aligns close to the given options of movement trends seen.
If we need aligned close to answer selection to propose bracketed pair nearest, it would mean one likely choice would hint needing: {y=3x+3, & y =3712/2x -18} fixing confusion of values presumed displayed.
However not all options represent directly \(y_b\) clearly but dissecting meanings ideally yields probable focus to confirm:
The resolved values lean back to structured movement around designated - of much than spotted variations.- but precise answer accounts ultimately strains to clear charting fit would root down into closest:
Thus the matched select averaged back {y=3x+3; y=(7/2x+18)} however appearing a mixed exact constant selection found on as:
{y = 3x +3 & y = \frac{41}{2}x -18 or the former paired notation.},
Based situation based on option direct analysis.
If focusing on question right pitch inferred from table simply makes typically as elements reminder hidden on first levels becomes balances in structures.
Choose typically confirmed towards motion of verifiable directives through table covering needed processing resolving linear relates from points.
3 answers