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geniusboy [140]
4 years ago
9

Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For o

ne of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh. (a) Develop a rule that you could use to predict the wind speed given any barometric pressure.
Mathematics
1 answer:
Furkat [3]4 years ago
7 0

Answer:

So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.

Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.

Slope= (180-100)

          ----------------    = -2

          (960-1000)

Formula: y=-2(x-1000)+100

Part B: y=-2(980-1000)+100=140

140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.

Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.

Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.

hoped this helped :)

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