Question

Question
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?

NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.

(1 point)
Responses


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Answer 1

To determine the number of tickets the airline can still sell, we need to set up an inequality based on the information given:

1. The maximum number of seats available on the airplane is 175.
2. The number of tickets already sold is 87.

Let \( x \) be the number of additional tickets the airline can sell. The inequality can be expressed as:

\[
87 + x \leq 175
\]

Next, we can solve for \( x \):

\[
x \leq 175 - 87
\]
\[
x \leq 88
\]

This means that the airline can sell up to 88 more tickets.

When looking for a graph that represents this solution, you want to find a graph that indicates that the value of \( x \) (representing the additional tickets) can take on any value from 0 up to a maximum of 88.

Look for a graph that shows:

- A line or shaded region starting at 0 and going to 88 on the x-axis (with inclusivity at 88 – often indicated by a closed circle at 88).
- The area to the left of 88 must be marked or shaded, indicating all possible numbers of tickets sold from 0 up to 88.

Review the provided images to find one that meets these criteria. If you're able to, select that graph and then use the "check answer" feature to confirm your choice.