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Elliot takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least 4900 and
less than 14700 miles each year. How many times would Elliot need to visit his parents each year to attain Gold status? Express your
answer in interval notation.

Respuesta :

Using proportions, it is found that the interval for the number of times Elliot must visit his parents is [14, 41].

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  • The interval is found using proportions, by a rule of three.
  • In each visit to his parents, Elliot flies 350 miles.
  • To qualify for Gold status, he must fly at least 4900 miles. How many trips are this:

1 trip - 350 miles

x trips - 4900 miles

Applying cross multiplication:

[tex]350x = 4900[/tex]

[tex]x = \frac{4900}{350}[/tex]

[tex]x = 14[/tex]

He must visit his parents at least 14 times.

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  • Also less than 14700 miles, how many trips are this?

1 trip - 350 miles

x trips - 14700 miles

[tex]350x = 14700[/tex]

[tex]x = \frac{14700}{350}[/tex]

[tex]x = 42[/tex]

Less than 42 trips, thus at most 41 times.

The interval is [14, 41].

A similar problem is given at https://brainly.com/question/24112433

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