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