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A pilot was scheduled to depart at 4:00 p.m., but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination.

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Answer:

The pilot was scheduled to depart at 4:00 p.m.

Her departure has been delayed by 16 minutes.

Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan.

We want to create an equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination.

First, let's represent the time of her original flight as x, in minutes. This means that her original flight plan would have taken x minutes to arrive at her destination.

However, with the new flight plan approved by air traffic control, she will arrive four times faster than she calculated in her original flight plan. This means that her new flight plan will take x/4 minutes to arrive at her destination.

Now, we need to take into account the 16-minute delay in her departure. This means that she will depart at 4:16 p.m. instead of 4:00 p.m., and therefore arrive at her destination x/4 minutes after 4:16 p.m.

So the equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination is:

Number of minutes after 4:00 p.m. = 16 + x/4

Note that this equation assumes that her flight time is the only factor affecting her arrival time, and does not take into account any other delays or factors that may affect her flight.

Explanation:

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