Question

Miles takes a 650 -mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least 13000 and less than 28600 miles each year. How many times would Miles need to visit his parents each year to attain Gold status? Express your answer in interval notation.

Answer 1

To qualify for Gold status at Awesome Airlines, Miles must take at least 13000 but less than 28600 miles yearly. A 650-mile round-trip to visit his parents means he needs to make more than 20 but fewer than 44 trips a year, represented by the interval (20, 44).

Step-by-step explanation:

The question involves finding out the number of round-trip flights Miles would have to make to attain Gold status at Awesome Airlines, considering the mileage requirements for the status.

Miles makes a 650-mile round-trip to visit his parents.

To attain Gold status, he must fly at least 13000 miles but less than 28600 miles each year.

We calculate the number of trips required by dividing the minimum and maximum qualifying miles by the miles per trip:

1. Minimum trips: 13000 miles ÷ 650 miles per trip = 20 trips
2. Maximum trips: 28600 miles ÷ 650 miles per trip = 44 trips

Therefore, the number of times Miles would need to visit his parents to attain Gold status is represented by the interval (20, 44), which means he needs to take more than 20 trips but fewer than 44 trips in a year.