If Michael can accurately answer 5 geometry math questions in 7.5 minutes, we can first determine how long it takes him to answer one question.
Time per question = \( \frac{7.5 \text{ minutes}}{5 \text{ questions}} = 1.5 \text{ minutes per question} \)
Now, to find out how long it will take him to complete the entire worksheet of 15 questions, we can multiply the time per question by the total number of questions:
Total time = \( 15 \text{ questions} \times 1.5 \text{ minutes per question} = 22.5 \text{ minutes} \)
Therefore, it will take Michael 22.5 minutes to complete the entire worksheet of 15 geometry math questions.