Question

Can someone help me ​

Answer 1

Answer:  B) 6 minutes

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Explanation:

Let's find the slope of the table. This will tell us the rate of change.

m = slope

m = (y2-y1)/(x2-x1)

m = (25250 - 26375)/(2 - 1) .... I used the first two rows

m = -1125/1

m = -1125

The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.

Since we're told the initial altitude was 27500 ft, this means b = 27500

This means y = mx+b turns into y = -1125x+27500

x is the number of minutes and y is the altitude at time x

As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.

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Now plug in y = 16250 and solve for x

y = -1125x+27500

16250 = -1125x+27500

-1125x+27500 = 16250

-1125x = 16250-27500

-1125x = -11250

x = -11250/(-1125)

x = 10

It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.

Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.