Question

Excel Elementary has a student teacher ratio shown in the function f(x) = 24x. In this function, x is the number of teachers and f(x) is the number of students. Which one of the following numbers could be prt of the domain of this function?

A) -2.1
B) -24
C) 0
D) 8

Answer 1

The correct answer is D) 8, as it is the only positive integer representing a feasible number of teachers that could be part of the domain of the function f(x) = 24x in a school context.

Step-by-step explanation:

The question asks which number could be part of the domain of the function f(x) = 24x, where x represents the number of teachers and f(x) the number of students. In a real-world context, such as a school, the number of teachers cannot be negative or zero as this would imply there are no teachers to teach any students. Therefore, we are looking for a positive number that represents the actual number of teachers present.

Considering the options given:

• A) -2.1 - cannot be part of the domain as it represents a negative number of teachers.
• B) -24 - similar to A), it represents a negative number of teachers.
• C) 0 - cannot be part of the domain as it would imply there are no teachers.
• D) 8 - this is a positive integer and could represent the number of teachers, making it a possible member of the domain of the function.

Therefore, the correct answer is D) 8, meaning there are 8 teachers which would correspond to 192 students at Excel Elementary (since f(x) = 24 * 8).