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Answer :
We are given that [tex]$\frac{1}{4}$[/tex] cup of vinegar is used for 2 teaspoons of lemon oil. To determine the number of cups of vinegar used per teaspoon of lemon oil, we divide the vinegar amount by the number of teaspoons:
[tex]$$
\text{Rate} = \frac{\frac{1}{4} \text{ cup}}{2 \text{ tsp}}.
$$[/tex]
Performing the division gives:
[tex]$$
\text{Rate} = \frac{1}{4} \div 2 = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8} \text{ cups per tsp}.
$$[/tex]
Thus, the rate is
[tex]$$
\frac{1}{8} \text{ cups of vinegar per teaspoon of lemon oil} \quad \text{or} \quad 0.125 \text{ cups/tsp}.
$$[/tex]
[tex]$$
\text{Rate} = \frac{\frac{1}{4} \text{ cup}}{2 \text{ tsp}}.
$$[/tex]
Performing the division gives:
[tex]$$
\text{Rate} = \frac{1}{4} \div 2 = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8} \text{ cups per tsp}.
$$[/tex]
Thus, the rate is
[tex]$$
\frac{1}{8} \text{ cups of vinegar per teaspoon of lemon oil} \quad \text{or} \quad 0.125 \text{ cups/tsp}.
$$[/tex]
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