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 = 38.9, where n is equal to the number.
B. 4.5 + 1/3 + n < 38.9, where n is equal to the number.
C. 1/3n + 4.5 < 38.9, where n is equal to the number.
D. 1/3n + 4.5 > 38.9, where n is equal to the number.

Answer 1

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

To solve the problem, we would rewrite the inequality as 1/3n < 34.4 by subtracting 4.5 from both sides. Then, multiply both sides by 3 to get n < 103.2. Therefore, all possible values of the number would be any number less than 103.2.