1. The problem asks which table shows a constant of proportionality between $y$ and $x$ equal to 0.9. 2. The constant of proportionality means $y = kx$ where $k$ is constant. Here, $k = 0.9$. 3. Check each table by calculating $\frac{y}{x}$ for each pair and see if it equals 0.9 consistently. 4. Table A: - $\frac{9}{10} = 0.9$ - $\frac{17}{18} \approx 0.944$ (not 0.9) - $\frac{28}{29} \approx 0.9655$ (not 0.9) So, Table A does not have a constant ratio of 0.9. 5. Table B: - $\frac{3.6}{4} = 0.9$ - $\frac{5.4}{6} = 0.9$ - $\frac{10.8}{12} = 0.9$ All ratios are exactly 0.9, so Table B has the constant of proportionality 0.9. 6. Table C: - $\frac{3.3}{3} = 1.1$ (not 0.9) - $\frac{9.9}{9} = 1.1$ (not 0.9) - $\frac{12.1}{11} \approx 1.1$ (not 0.9) So, Table C does not have the constant ratio 0.9. Final answer: Table B has the constant of proportionality 0.9.