document.write( "Question 178095: Meteorologists have determined that the duration of a storm is dependent on the diameter of the storm. \r
\n" ); document.write( "\n" ); document.write( "The function f(d)=.07(the square root of d)raised to the third power defines the relationship where d is the diameter of the storm in miles and f(d) is the duration in hours. How long will a storm last if the diameter of the storm is 9 miles? The answer should be written in function notation in decimals. \r
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\n" ); document.write( "\n" ); document.write( "I'm lost!!!!
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Algebra.Com's Answer #133042 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
duration of a storm is dependent on the duration of the storm.
\n" ); document.write( "looking at what you showed for the function, i get:
\n" ); document.write( "\"f%28d%29+=+.07%2Asqrt%28d%29%5E3\"
\n" ); document.write( "or:
\n" ); document.write( "\"f%28d%29+=+%28.07%2Asqrt%28d%29%29%5E3\"
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\n" ); document.write( "if i assume the first equation, then:
\n" ); document.write( "\"f%28d%29+=+.07%2Asqrt%28d%29%5E3\"
\n" ); document.write( "becomes:
\n" ); document.write( "\"f%289%29+=+.07%2Asqrt%289%29%5E3\"
\n" ); document.write( "\"sqrt%289%29\" = 3
\n" ); document.write( "\"3%5E3\" = 27
\n" ); document.write( ".07 * 27 = 1.89
\n" ); document.write( "your answer would be 1.89 hours if the diameter of the storm is 9 miles.
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\n" ); document.write( "if i assume the second equation, then:
\n" ); document.write( "\"f%28d%29+=+%28.07%2Asqrt%28d%29%29%5E3\"
\n" ); document.write( "becomes:
\n" ); document.write( "\"f%289%29+=+%28.07%2Asqrt%289%29%29%5E3\"
\n" ); document.write( "\"sqrt%289%29\" = 3
\n" ); document.write( ".07*3 = .21
\n" ); document.write( "\".21%5E3\" = .009261 hours
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\n" ); document.write( "i would bet on the first interpretation where the answer is 1.89 hours, rather than the second interpretation where the number of hours is .009261.
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\n" ); document.write( "use my first interpretation as follows:
\n" ); document.write( "\"f%28d%29+=+.07%2Asqrt%28d%29%5E3\"
\n" ); document.write( "becomes:
\n" ); document.write( "\"f%289%29+=+.07%2Asqrt%289%29%5E3\"
\n" ); document.write( "this becomes:
\n" ); document.write( "\"f%289%29+=+.07%2A3%5E3\"
\n" ); document.write( "which becomes:
\n" ); document.write( "\"f%289%29+=+.07%2A27\"
\n" ); document.write( "which becomes:
\n" ); document.write( "\"f%289%29+=+1.89\"
\n" ); document.write( "your answer would be:
\n" ); document.write( "a storm with a diameter of 9 miles would have a duration of 1.89 hours.
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\n" ); document.write( "please note:
\n" ); document.write( "\"sqrt%289%29%5E3\" is the same as \"%289%5E%281%2F2%29%29%5E3\" is the same as \"9%5E%283%2F2%29\" = 27.
\n" ); document.write( "you could have done it either way and gotten the same answer.
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