Final answer:
To determine the average number of clues solved in 10 minutes, set up a proportion using the given information and solve for x. The student will solve approximately 38 clues in 10 minutes.
Step-by-step explanation:
To determine how many clues the student will solve on average in 10 minutes, we can set up a proportion using the given information. Since the student averages 115 clues in 30 minutes, we can set up the proportion:
115 clues / 30 minutes = x clues / 10 minutes
To solve for x, we can cross multiply and divide:
x = (115 * 10) / 30 = 38.33 clues
Therefore, on average, the student will solve approximately 38 clues in 10 minutes.