1. The problem asks us to find which table has a constant of proportionality between $y$ and $x$ equal to 1.5. 2. The constant of proportionality $k$ means that $y = kx$ for all pairs $(x,y)$ in the table. 3. We check each table by calculating $\frac{y}{x}$ for each pair and see if it equals 1.5 consistently. 4. Table A: - For $(5,7.5)$: $\frac{7.5}{5} = 1.5$ - For $(13,19.5)$: $\frac{19.5}{13} = 1.5$ - For $(23,33)$: $\frac{33}{23} \approx 1.4348$ (not 1.5) So Table A does not have a constant ratio of 1.5. 5. Table B: - For $(8,9.5)$: $\frac{9.5}{8} = 1.1875$ - For $(12,13.5)$: $\frac{13.5}{12} = 1.125$ - For $(16,17.5)$: $\frac{17.5}{16} = 1.09375$ Ratios are not equal to 1.5. 6. Table C: - For $(8,12)$: $\frac{12}{8} = 1.5$ - For $(9,13.5)$: $\frac{13.5}{9} = 1.5$ - For $(18,27)$: $\frac{27}{18} = 1.5$ All ratios equal 1.5, so Table C has the constant of proportionality 1.5. 7. Therefore, the answer is Table C.