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?

Question

a. 1/3n+4.5_<3.8.9, where n is equal to the number.

b. 1/3n+4.5>_, where n is equal to the number.

c. 1/3n+4.5+38.9, where n is equal to the number.

d. 4.5+1/3+n_<38.9, where n is equal to the number.

Answer 1

To write an inequality representing the given problem, we can say: "The sum of 4.5 and one-third of a number is less than or equal to 38.9."

Let's break it down:

- "The sum of 4.5 and one-third of a number" : This translates to (4.5 + 1/3n), where n represents the number.

- "is less than or equal to 38.9" : This translates to <= 38.9.

Combining these components, we can write the inequality as:

4.5 + (1/3)n <= 38.9.

Therefore, the correct answer is:

a. 1/3n + 4.5 <= 38.9, where n is equal to the number.