Question

Marty teaches music in his community. He teaches three classes a day, and each class has fewer than 8 students. If Marty teaches x students a day, which is the simplest inequality that represents this situation?

A.
x < 16
B.
x < 24
C.
x < 8
D.
x > 24
E.
x > 8

Answer 1

Marty teaches fewer than 8 students per class for three classes a day. The inequality representing the maximum number of students he teaches a day is x < 24, making Option B the correct answer.

Step-by-step explanation:

Marty teaches music and each of his classes has fewer than 8 students. Since he teaches three classes a day, to find the simplest inequality representing the maximum number of students Marty can teach a day, we need to multiply the number of students per class by the number of classes.

If each class has fewer than 8 students, then the number of students per class can be represented as < 8. Marty teaches three classes a day, so we multiply 3 by the maximum number of students per class which gives us 3 * (<8) or equivalently < 24.

Thus, the inequality representing the situation would be x < 24, where x is the number of students Marty teaches a day. Therefore, the correct answer is Option B: x < 24.