1. **State the problem:** Jessie said the rate 1/8 gallon can be written as the unit rate 1/32 pound per gallon, but this is incorrect. We need to find the correct unit rate in pounds per gallon and identify Jessie's likely error. 2. **Understand the problem:** A unit rate is a rate with a denominator of 1 unit. Here, we want pounds per gallon. 3. **Given:** 1/4 pound corresponds to 1/8 gallon. 4. **Find the unit rate:** To find pounds per gallon, divide the pounds by the gallons: $$\text{Unit rate} = \frac{\frac{1}{4} \text{ pound}}{\frac{1}{8} \text{ gallon}} = \frac{1}{4} \times \frac{8}{1} = 2 \text{ pounds per gallon}$$ 5. **Jessie's likely error:** Jessie wrote 1/32 pound per gallon, which suggests she divided 1/8 gallon by 1/4 pound instead of the other way around: $$\frac{1}{8} \div \frac{1}{4} = \frac{1}{8} \times \frac{4}{1} = \frac{4}{8} = \frac{1}{2}$$ But 1/32 is different, so possibly she multiplied incorrectly or confused the units. **Final answer:** The correct unit rate is $2$ pounds per gallon.