SOLUTION: Meteorologists have determined that the duration of a storm is dependent on the diameter of the storm. The function f(d)=.07(the square root of d)raised to the third power defi

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Question 178095: Meteorologists have determined that the duration of a storm is dependent on the diameter of the storm.
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.

I'm lost!!!!
Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website!
duration of a storm is dependent on the duration of the storm.
looking at what you showed for the function, i get:

or:

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if i assume the first equation, then:

becomes:

= 3
= 27
.07 * 27 = 1.89
your answer would be 1.89 hours if the diameter of the storm is 9 miles.
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if i assume the second equation, then:

becomes:

= 3
.07*3 = .21
= .009261 hours
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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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use my first interpretation as follows:

becomes:

this becomes:

which becomes:

which becomes:

your answer would be:
a storm with a diameter of 9 miles would have a duration of 1.89 hours.
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please note:
is the same as is the same as = 27.
you could have done it either way and gotten the same answer.
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