Question

To qualify for Gold status at Awesome Airlines, one must fly less than 32200 but at least 14000 miles each year. If Miles takes a 700-mile round-trip flight when visiting his parents, how many times does Miles need to visit his parents each year to attain Gold status? Express your answer in interval notation.

Answer 1

If the least number of miles that one must fly to attain gold status is 14000 miles in a year, it means that the number of miles must be greater than or equal to 14000. If he takes 700 miles rould trip, the number of least number of round trips that he can get is

14000/700 = 20

The greatest number of miles must be less that 32200. This means that the greatest number of round trips for a 700 mile round trip must be

32200/700 = 46

Since 20 is inclusive in the number of times, we would show this by using brackets.

Since 46 is not inclusive in the number of times, we would show this by using parentheses. Thus, in interval notation, the number of times that Miles need to visit his parents each year to attain Gold status is

[20, 46)