Question
An airline charges an extra fee if a suitcase weighs more than 50 pounds. After packing, Li's suitcase weighs 47.75 pounds. Which inequality can be used to determine how much more weight can be added to the suitcase without going over the 50-pound weight limit?
A. 47.75 + x > 50
B. 47.75 + x ≤ 50
C. 47.75 + x < 50
D. 47.75 + x ≥ 50
A. 47.75 + x > 50
B. 47.75 + x ≤ 50
C. 47.75 + x < 50
D. 47.75 + x ≥ 50
Answers
GPT-4o mini
To determine how much more weight can be added to Li's suitcase without exceeding the 50-pound weight limit, we need to set up an inequality.
Let \( x \) represent the additional weight that can be added to the suitcase. The current weight of the suitcase is 47.75 pounds. We want to ensure that the total weight does not exceed 50 pounds.
Thus, we need the inequality:
\[
47.75 + x \leq 50
\]
This indicates that the combined weight of the suitcase and any additional weight \( x \) must be less than or equal to 50 pounds, so option B is correct:
**B. 47.75 + x ≤ 50**
Let \( x \) represent the additional weight that can be added to the suitcase. The current weight of the suitcase is 47.75 pounds. We want to ensure that the total weight does not exceed 50 pounds.
Thus, we need the inequality:
\[
47.75 + x \leq 50
\]
This indicates that the combined weight of the suitcase and any additional weight \( x \) must be less than or equal to 50 pounds, so option B is correct:
**B. 47.75 + x ≤ 50**