SOLUTION: I got an answer but want to know if I am right! me answer was 24 fluid ounces. here is the problem.The amount of juice in a grapefruit is directly proportional to the cube of its

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Question 317382: I got an answer but want to know if I am right!
me answer was 24 fluid ounces.
here is the problem.The amount of juice in a grapefruit is directly proportional to the cube of its diameter. A grapefruit with a 3 inch diameter contains 3 fluid ounces of juice. How much juice is contained in a grapefruit with a 6 inch diameter. Round to the nearest tenth of a fluid ounce.
thanks
Found 2 solutions by nyc_function, Earlsdon:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!

I am happy that you were right. I do my best to help students for free but obviously will not be right everytime. Good job!


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If J = the amount of juice in fluid ounces and D = its diameter, then:
J+=+kD%5E3 where k = the constant of proportionality.
To find the value of k, substitute D = 3 and J = 3.
3+=+k%283%5E3%29 Evaluate.
k+=+3%2F27
k+=+1%2F9
To find the amount of juice when D = 6...
J+=+D%5E3%2F9 Substitute D = 6.
J+=+6%5E3%2F9
J+=+216%2F9
highlight%28J+=+24%29 fl.oz. You got it!