Question

Which situation can be modeled by this​ inequality?
x greater than or equals 10
Question content area bottom
Part 1
A.
10 bottles will fill the cardboard box.
B.
The sign says the play area is for children 10 year of age or younger.
C.
Use the yardstick to find the length of objects longer than 10 inches.
D.
The students had to run at least 10 laps in track practice.

Answer 1

The inequality \( x \geq 10 \) suggests that the variable \( x \) represents a quantity that must be at least 10.

Let's examine the options:

A. 10 bottles will fill the cardboard box.
- This implies that exactly 10 is the requirement but does not indicate "at least" or "greater".

B. The sign says the play area is for children 10 years of age or younger.
- This indicates a maximum age limit, not a minimum.

C. Use the yardstick to find the length of objects longer than 10 inches.
- The wording "longer than 10 inches" suggests \( x > 10 \), not \( x \geq 10 \).

D. The students had to run at least 10 laps in track practice.
- This directly aligns with \( x \geq 10 \) since the students must run a minimum of 10 laps.

Based on this analysis, the correct answer is:

**D. The students had to run at least 10 laps in track practice.**