Jean wrote two correct variable expressions to represent the phrase “the quotient of a number and 3.”

Which variable expressions could Jean have written?

Select each correct answer.

Responses

3n
3, n

13n
1 over 3 n

n3
n over 3

n ÷ 3

To find the variable expressions that represent the phrase "the quotient of a number and 3," we need to understand that the word "quotient" refers to division.

So, we need to divide a number (represented by the variable) by 3.

Let's analyze each option:

1. 3n: This expression represents multiplying the number n by 3, not dividing it. Therefore, it does not correctly represent the quotient of a number and 3.

2. 13n: This expression also represents multiplying the number n by 13, not dividing it by 3. Therefore, it is not a correct representation.

3. n3: This expression represents multiplying the number n by 3, not dividing it. Similar to the first option, it does not correctly represent the quotient of a number and 3.

4. n ÷ 3: This expression represents dividing the number n by 3, which accurately represents the quotient of a number and 3.

Therefore, the correct variable expression to represent the phrase "the quotient of a number and 3" is n ÷ 3.