SOLUTION: The price p and the quantity x sold of a certain product obey the demand equation: p = -1/3x + 100 Which of the following is a correct function for revenue, R? a. R(x) = -1/

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Question 42980: The price p and the quantity x sold of a certain product obey the demand equation:
p = -1/3x + 100
Which of the following is a correct function for revenue, R?
a. R(x) = -1/3x + 100
b. R(x) = -1/3x^2 + 100x
c. R(x) = 1/3x - 100
d. R(x) = 1/3x^2 - 100x
e. None of the others

Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
If the price of each item is %28-1%2F3%29x+%2B+100, we have to multiply that by x, getting:
R%28x%29+=+x%28-x%2F3+%2B+100%29
Distributive:
R%28x%29+=+x%5E2%2F3+%2B+100x
I'd go with d.