To find out how many questions Rachel answers in one minute, we can divide the number of questions she answered by the time she spent studying in minutes.
Rachel finished \( 7.5 \) questions in \( 15 \) minutes.
To find the rate of questions per minute:
\[ \text{Questions per minute} = \frac{7.5 \text{ questions}}{15 \text{ minutes}} \]
Now, we perform the division:
\[ \text{Questions per minute} = \frac{7.5}{15} = 0.5 \]
Thus, Rachel answers \( 0.5 \) questions per minute.