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)

• $\frac{1}{3}n + 4.5 = 38.9$, where $n$ is equal to the number.
• $\frac{1}{3}n + 4.5 geq 38.9$, where $n$ is equal to the number.
• $\frac{1}{3}n + 4.5 leq 38.9$, where $n$ is equal to the number.
• $4.5+\frac{1}{3}+n leq 38.9$, where $n$ is equal to the number.

Explanation:

Step1: Translate "one-third a number"

Let the number be $n$. One-third of it is $\frac{1}{3}n$.

Step2: Translate "sum of 4.5 and..."

The sum is $\frac{1}{3}n + 4.5$.

Step3: Translate "is equal to at most"

"At most" means less than or equal to, so $\leq 38.9$.

Step4: Match to correct inequality

Combine parts: $\frac{1}{3}n + 4.5 \leq 38.9$.

Answer:

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