Question

To qualify for gold status at American Airlines one must fly less than 15,000 but at least 7200 miles each year if Miles takes a 300 mile round-trip flight when visiting his parents how many times does Miles need to visit his parents each year to obtain gold status explain your answer in interval notation

Answer 1

Given,

To qualify for gold status at American Airlines one must fly less than 15,000 but at least 7200 miles each year if Miles takes a 300-mile round-trip flight when visiting his parents.

To find: How many times does Miles need to visit his parents each year to obtain gold status?

Solution:

Let x represent the time Miles needs to visit his parents.

`7200\leq300x<15,000`

Divide both sides by 300.

`\begin{gathered} (7200)/(300)\leq x<(15,000)/(300) \\ 24\leq x<50 \end{gathered}`

Hence, x is in the interval [24, 50).