Question

a group of 6 students is surveying their classmates to get feedback about the different clubs they’re involved in. if each student surveys ore than 2 of their classmates, the total number of completed surveys. s(x), is given by the equation s(x)=6x. Which could be the domain of this function. Check the attachment

Answer 1

Answer: x > 2 ( Option C)

Explanations:

Let x represents the number of classmates surveyed by each student.

The total number of completes surveys is given by:

s(x) = 6x

It is stated as a condition in the question that each student surveys more than 2 of their classmates.

Mathematically, this means that x > 2.

Since the number of classmates (x) cannot be a decimal, neither can it be a negative number, this shows that x is a natural number ( ℕ)

Therefore, the domain of the function will be:

x ∈ ℕ

Note: that x cannot be a real number because real numbers(R) can include decimal and negative numbers. x can also not be integers (Z) because integers can be positive or negative whole numbers

x can also not be a rational number (Q) because the number of classmates cannot be a fraction.