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)

Question

Responses

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.

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.

Answer 1

To represent the statement "The sum of 4.5 and one-third of a number is equal to at most 38.9," we can write it as an inequality.

Let \( n \) be the number. The sum of 4.5 and one-third of \( n \) can be expressed as:

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

The phrase "equal to at most" indicates that this expression can be less than or equal to 38.9. Therefore, the appropriate inequality is:

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

So, the correct response from your options is:

\[ \frac{1}{3}n + 4.5 \leq 38.9, \text{ where } n \text{ is equal to the number.} \]