Answer :
We know that $\frac{1}{4}$ cup of vinegar is needed for 2 teaspoons of lemon oil. To find the rate in cups of vinegar per teaspoon of lemon oil, we set up the division:
$$
\text{Rate per teaspoon} = \frac{\frac{1}{4} \text{ cup}}{2 \text{ teaspoons}}
$$
Dividing $\frac{1}{4}$ by 2 gives:
$$
\frac{\frac{1}{4}}{2} = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}
$$
Thus, the rate is $\frac{1}{8}$ cup of vinegar per teaspoon of lemon oil.
$$
\text{Rate per teaspoon} = \frac{\frac{1}{4} \text{ cup}}{2 \text{ teaspoons}}
$$
Dividing $\frac{1}{4}$ by 2 gives:
$$
\frac{\frac{1}{4}}{2} = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8}
$$
Thus, the rate is $\frac{1}{8}$ cup of vinegar per teaspoon of lemon oil.
