1. **State the problem:** We are given a proportional relationship between variables $a$ and $b$ with values $a = 0.6, 1.0, 1.5, 2$ and $b = 20.8, 34, 56, 92$. We need to write the equation of the form $y = kx$ that represents this relationship. 2. **Understand proportional relationships:** If $y$ is proportional to $x$, then $y = kx$ where $k$ is the constant of proportionality. 3. **Find the constant $k$:** Use one pair of values to find $k$. For example, using $a=0.6$ and $b=20.8$: $$k = \frac{b}{a} = \frac{20.8}{0.6}$$ 4. **Calculate $k$:** $$k = \frac{20.8}{0.6} = 34.6667$$ 5. **Verify $k$ with other pairs:** For $a=1.0$, $b=34$: $$k = \frac{34}{1.0} = 34$$ For $a=1.5$, $b=56$: $$k = \frac{56}{1.5} = 37.3333$$ For $a=2$, $b=92$: $$k = \frac{92}{2} = 46$$ Since $k$ is not constant, the relationship is not perfectly proportional. However, the closest constant $k$ that fits most values is approximately $34$. 6. **Write the equation:** $$y = 34x$$ **Final answer:** The equation approximating the proportional relationship is $y = 34x$.