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?
Answers
GPT-4o mini
To determine how much more weight can be added to Li’s suitcase without exceeding the 50-pound limit, you can set up the following inequality:
Let \( x \) represent the additional weight that can be added to the suitcase. The current weight of the suitcase is 47.75 pounds. The inequality can be expressed as:
\[
47.75 + x \leq 50
\]
This inequality states that the current weight of the suitcase plus the additional weight \( x \) must be less than or equal to 50 pounds.
To find the maximum weight \( x \) that can be added, you can solve the inequality:
1. Subtract 47.75 from both sides:
\[
x \leq 50 - 47.75
\]
2. Perform the subtraction:
\[
x \leq 2.25
\]
Thus, the inequality \( 47.75 + x \leq 50 \) can be used to determine how much more weight can be added to Li’s suitcase without exceeding the 50-pound limit.
Let \( x \) represent the additional weight that can be added to the suitcase. The current weight of the suitcase is 47.75 pounds. The inequality can be expressed as:
\[
47.75 + x \leq 50
\]
This inequality states that the current weight of the suitcase plus the additional weight \( x \) must be less than or equal to 50 pounds.
To find the maximum weight \( x \) that can be added, you can solve the inequality:
1. Subtract 47.75 from both sides:
\[
x \leq 50 - 47.75
\]
2. Perform the subtraction:
\[
x \leq 2.25
\]
Thus, the inequality \( 47.75 + x \leq 50 \) can be used to determine how much more weight can be added to Li’s suitcase without exceeding the 50-pound limit.