1. The problem states that a family drank $p$ pints of milk in one week, and we want to find the equation relating $p$ (pints) to $g$ (gallons). 2. Important fact: 1 gallon = 8 pints. 3. To convert pints to gallons, we divide the number of pints by 8 because gallons are larger units. 4. Therefore, the number of gallons $g$ is given by the formula: $$g = \frac{p}{8}$$ 5. Looking at the options, none directly show $g = \frac{p}{8}$, but option C is $g = \frac{p}{4}$, which is incorrect. 6. Option A is $p = \frac{g}{4}$, which rearranged would be $g = 4p$, incorrect. 7. Option B is $p = \frac{g}{4 \times 2} = \frac{g}{8}$, which rearranged is $g = 8p$, incorrect. 8. Option D is $g = \frac{p}{4 \times 2} = \frac{p}{8}$, which matches the correct formula. 9. Hence, the correct equation is option D: $$g = \frac{p}{8}$$. Final answer: $g = \frac{p}{8}$ (Option D).