Blake Salinas
05/02/2023 · Primary School
To qualify for Gold status at Awesome Airlines, one must fly at least 15200 and less than 45600 miles each year. If Gerald takes a 950 -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.
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To attain Gold status at Awesome Airlines, Gerald needs to fly between 15200 and 45600 miles each year.
If Gerald takes a 950-mile round-trip flight to visit his parents, he will fly 950 * 2 = 1900 miles for each visit.
Let x be the number of times Gerald needs to visit his parents each year to attain Gold status.
Therefore, the total miles Gerald will fly in a year is 1900x.
To qualify for Gold status, 15200 <= 1900x <= 45600.
Dividing by 1900 on all sides, we get:
8 <= x <= 24
Therefore, Gerald needs to visit his parents at least 8 times and at most 24 times each year to attain Gold status.
Expressed in interval notation, the answer is [8, 24].
Quick Answer
Gerald needs to visit his parents 8 to 24 times each year to attain Gold status.
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