SOLUTION: I am so confused on this one. Please help. Thank you. For the function given by the equation d=Cn^-2 can be used to determine the diameter size of the carburetor's opening, d, in

Question 469956: I am so confused on this one. Please help. Thank you.
For the function given by the equation d=Cn^-2 can be used to determine the diameter size of the carburetor's opening, d, in millimeters, where n is the number of rpm's at which the engine achieves peak performance and C is a constant.
A. Solve the equation d=Cn^-2 for n.
B. Suppose the carburetor's opening is 84mm and rpm's are 4480. Find the value of C that makes the equation true.
C. Use the value of C that you found to determine the rpm's at which the engine produces peak power when the carburetor's opening is 81mm.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the function given by the equation d=Cn^-2 can be used to determine the diameter size of the carburetor's opening, d, in millimeters, where n is the number of rpm's at which the engine achieves peak performance and C is a constant.
A. Solve the equation d=Cn^-2 for n.
---
d = C/n^2
n^2 = C/d
n = sqrt[C/d)
--------------------
B. Suppose the carburetor's opening is 84mm and rpm's are 4480. Find the value of C that makes the equation true.
---
C = d*n^2
C = 84*4480^2 = 1,685,913,600
------------------------------------

C. Use the value of C that you found to determine the rpm's at which the engine produces peak power when the carburetor's opening is 81mm.
----
n = sqrt[C/d]
n = Sqrt[1,685,913,600/81]
n = 13686.63 rpm
===========================
Cheers,
Stan H.
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