1. The problem asks to find the constant of proportionality for each proportional relationship given in the table and for the equation $y=1.3x$. 2. The constant of proportionality $k$ in a proportional relationship $y = kx$ is found by dividing $y$ by $x$: $$k = \frac{y}{x}$$ 3. Calculate $k$ for each pair in the table: - For $x=1$, $y=0.2$: $$k = \frac{0.2}{1} = 0.2$$ - For $x=2$, $y=0.4$: $$k = \frac{0.4}{2} = 0.2$$ - For $x=3$, $y=0.6$: $$k = \frac{0.6}{3} = 0.2$$ 4. For the equation $y = 1.3x$, the constant of proportionality is directly the coefficient of $x$, which is $1.3$. 5. Summary: - The constant of proportionality for the table is $0.2$. - The constant of proportionality for $y=1.3x$ is $1.3$. This means for every 1 unit increase in $x$, $y$ increases by $0.2$ in the table and by $1.3$ in the given equation.