Subjects algebra

Constant Proportionality 55Fece

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1. The problem asks to find which table has a constant of proportionality between $y$ and $x$ equal to 2. 2. The constant of proportionality $k$ means $y = kx$. Here, $k=2$, so $y = 2x$. 3. Check each table to see if $y = 2x$ holds for all pairs. 4. Table A: - For $x=2$, $y=5$, but $2 \times 2 = 4 \neq 5$. - So Table A does not have $k=2$. 5. Table B: - For $x=3$, $y=6$, and $2 \times 3 = 6$ (matches). - For $x=5$, $y=10$, and $2 \times 5 = 10$ (matches). - For $x=18$, $y=36$, and $2 \times 18 = 36$ (matches). - All pairs satisfy $y=2x$. 6. Table C: - For $x=6$, $y=24$, but $2 \times 6 = 12 \neq 24$. - So Table C does not have $k=2$. 7. Therefore, the table with constant of proportionality 2 is Table B. Final answer: Table B