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

#1**+2 **

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