Question

To qualify for Gold status at Awesome Airlines, one must fly at least 8400

8400
and less than 35000
35000
miles each year. If Gerald takes a 700
700
-mile round-trip flight to visit his parents, how many times does Gerald need to visit his parents each year to attain Gold status? Express your answer in interval notation.

Answer 1

Answer: [6, 25]

Explanation:

If Gerald takes a 700-mile round trip, then he is credited with 1400 miles flown (700 miles each way). To attain Gold status, Gerald needs to fly between 8400 and 35000 miles per year. Let's call the number of round trips Gerald needs to take "x". Then, we can set up an inequality to represent the number of miles he needs to fly:

8400 ≤ 1400x ≤ 35000

Dividing all three parts of the inequality by 1400, we get:

6 ≤ x ≤ 25

Therefore, Gerald needs to visit his parents at least 6 times a year, but no more than 25 times a year to attain Gold status. In interval notation, we can express this as:

[6, 25]