Question

Question

The sum of 4.5 and one-third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an inequality that could be used to solve this problem?(1 point)
Responses

4.5+13+n≤38.9
, where n
is equal to the number.
4.5 plus Start Fraction 1 over 3 end fraction plus n less than or equal to 38.9 , where n is equal to the number.

13n+4.5≥38.9
, where n
is equal to the number.
Start Fraction 1 over 3 end fraction n plus 4.5 greater than or equal to 38.9 , where n is equal to the number.

13n+4.5≤38.9
, where n
is equal to the number.
Start Fraction 1 over 3 end fraction n plus 4.5 less than or equal to 38.9 , where n is equal to the number.

13n+4.5=38.9
, where n
is equal to the number.
Start Fraction 1 over 3 end fraction n plus 4.5 equals 38.9 , where n is equal to the number.

Answer 1

To set up the inequality based on the problem statement, we need to translate the condition into mathematical terms. The problem states that the sum of 4.5 and one-third of a number \( n \) is equal to at most 38.9. This can be expressed as:

\[ 4.5 + \frac{1}{3}n \leq 38.9 \]

This inequality represents all the possible values of the number \( n \). Therefore, the correct response is:

\(\frac{1}{3}n + 4.5 \leq 38.9\), where \( n \) is equal to the number.

This can also be simplified by isolating \( n \) if needed, but the inequality itself is correctly stated as given above.