Final answer:
The percentage of Bay High School extracurricular participants that compete in athletics is approximately 36.64%.
Step-by-step explanation:
To calculate the percentage of Bay High School extracurricular participants who compete in athletics, we first look at the two-way frequency table provided.
The total number of participants in extracurricular activities at Bay High School is given as 434. Out of these, 159 students participate in athletics.
We use the formula for percentage, which is (part/whole) × 100. Therefore:
Percentage of students in athletics = (159 / 434) × 100
Calculating this gives us:
Percentage of students in athletics = 0.3663594470046083 × 100 ≈ 36.64%