SOLUTION: Can anyone help me solve this homework assignment? For an engine displacement of 2.8L, the function d(n)= (0.75)sqrt 2.8n can be used to determine the diameter of the carbureto

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Question 1031079: Can anyone help me solve this homework assignment?
For an engine displacement of 2.8L, the function d(n)= (0.75)sqrt 2.8n can be used to determine the diameter of the carburetor's opening. d(n) is measured in millimeters and n= the number of revolutions per minute at which engine achieves peak performance. If carb is open 81 mm, at what rpm will the engine reach peak performance?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
d%28n%29=+%280.75%29sqrt%28+2.8n%29
We want to know n when d(n) = 81
81+=+%280.75%29sqrt%28+2.8n%29
divide each side by 0.5
81%2F0.75+=+sqrt%28+2.8n%29
108+=+sqrt%28+2.8n%29
square both sides
108%5E2+=+2.8n
divide each side by 2.8
108%5E2%2F2.8+=+n
4165.714+=+n approximately