Final answer:
To find how many students at Rocky Valley College take speech, multiply the total number of students, 13,400, by 1/4, which results in 3,350 students.
Step-by-step explanation:
To calculate how many students take speech at Rocky Valley College, we can use the information provided that 1/4 of the 13,400 students take speech. This can be calculated by multiplying the total number of students by the fraction who take speech.
Number of students taking speech = (Total number of students) × (Fraction taking speech)
Number of students taking speech = 13,400 × 1/4
Number of students taking speech = 3,350
Therefore, 3,350 students take speech at Rocky Valley College.