Question

You have at most 6 hours to spend at a fair and at a planetarium. You want to spend at least 2 hours at the fair and more than 2 hours at the planetarium. Let x be the number of hours at the fair and let y be the number of hours at the planetarium. Which system represents the situation?

A) x ≥ 2, y > 2, x + y ≤ 6
B) x ≤ 2, y > 2, x + y ≤ 6
C) x > 2, y ≥ 2, x + y ≤ 6
D) x > 2, y > 2, x + y ≤ 6

Answer 1

The correct system that represents the situation is A) x ≥ 2, y > 2, x + y ≤ 6.

Step-by-step explanation:

The correct system that represents the situation is A) x ≥ 2, y > 2, x + y ≤ 6.

x represents the number of hours at the fair and y represents the number of hours at the planetarium.

We want to spend at least 2 hours at the fair, so x ≥ 2. We also want to spend more than 2 hours at the planetarium, so y > 2.

Lastly, we have at most 6 hours in total, so x + y ≤ 6.