Question

question 1-8
at the county fair, there are height and weight restrictions for riding the ferris wheel.

• the minimum height, x, to ride is 4 feet.
• the maximum weight, y, to ride is 300 pounds.

select all the viable solutions that meet the requirements.
□ (4, 200)
□ (2, 450)
□ (5, 290)
□ (8, 310)
□ (1, 150)
□ (6, 180)

Explanation:

Step1: Analyze height condition (x ≥ 4)

Check each point's x - value:

• (4, 200): \(4\geq4\) (valid height)
• (2, 450): \(2<4\) (invalid height)
• (5, 290): \(5\geq4\) (valid height)
• (8, 310): \(8\geq4\) (valid height)
• (1, 150): \(1<4\) (invalid height)
• (6, 180): \(6\geq4\) (valid height)

Step2: Analyze weight condition (y ≤ 300)

For valid height points, check y - value:

• (4, 200): \(200\leq300\) (valid weight)
• (5, 290): \(290\leq300\) (valid weight)
• (8, 310): \(310>300\) (invalid weight)
• (6, 180): \(180\leq300\) (valid weight)

Answer:

(4, 200), (5, 290), (6, 180)