1. **Stating the problem:** We are given a table showing the relationship between grams and packages. The grams values are 52.8 and 132, and the packages values are 1, 4, and 6. We want to understand the relationship between grams and packages. 2. **Analyzing the data:** From the table, when packages = 1, grams = 52.8. When packages = 4, grams = 132. We want to find the formula that relates grams ($g$) to packages ($p$). 3. **Assuming a linear relationship:** We assume grams is proportional to packages, so $g = k p$ where $k$ is the constant of proportionality. 4. **Finding $k$ using the first data point:** When $p=1$, $g=52.8$, so $k = \frac{g}{p} = \frac{52.8}{1} = 52.8$. 5. **Checking $k$ with the second data point:** When $p=4$, $g=132$, so $k = \frac{132}{4} = 33$. Since $k$ is not the same, the relationship is not perfectly linear. 6. **Finding the best fit linear equation:** Use two points $(1,52.8)$ and $(4,132)$ to find the slope $m$: $$m = \frac{132 - 52.8}{4 - 1} = \frac{79.2}{3} = 26.4$$ 7. **Finding the equation of the line:** Using point-slope form: $$g - 52.8 = 26.4 (p - 1)$$ Simplify: $$g = 26.4 p + 52.8 - 26.4 = 26.4 p + 26.4$$ 8. **Interpreting the equation:** The grams $g$ can be estimated by: $$g = 26.4 p + 26.4$$ 9. **Checking the equation for $p=6$:** $$g = 26.4 \times 6 + 26.4 = 158.4 + 26.4 = 184.8$$ So for 6 packages, grams is approximately 184.8. **Final answer:** $$g = 26.4 p + 26.4$$