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Meteorologists can determine the duration of a storm by using the function defined by Upper T left parenthesis Upper D right parenthesis equals 0.07 Upper D Superscript 3 divided by 2 ​, where D is the diameter of the storm in miles and T is the time in hours. Find the duration of a storm with a diameter of 1 mile . What the answer to this redical exponent?

Guest Apr 18, 2017
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I think this is the function, since I looked it up:

$$T(D) = 0.07D^{\frac32}$$

where D is the diameter of the storm in miles and T is the time in hours.

To find the duration of a storm with a diameter of 1 mile,

just plug in 1 for D and solve for T(1).

$$T(1) = 0.07(1^{\frac32}) \\~\\ T(1) = 0.07(\sqrt{1^3}) \\~\\ T(1)=0.07(\sqrt1) \\~\\ T(1) = 0.07 \text{ hours}$$

hectictar  Apr 18, 2017
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Thanks, hectictar.......where did you find that "formula??".....I think it would be interesting to find out how that was derived....!!!!

CPhill  Apr 18, 2017
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Well, I was trying to find a " real " formula for it, by searching for " function for the duration of a storm " in Google, but all I actually found was several others asking the same question on different sites !

hectictar  Apr 18, 2017