SOLUTION: Suppose that q = 1,000,000p-6. Also suppose that you want to "invert the demand curve" and express price as a function of demand. Which of the following is an expression of the inv

Algebra ->  Exponents -> SOLUTION: Suppose that q = 1,000,000p-6. Also suppose that you want to "invert the demand curve" and express price as a function of demand. Which of the following is an expression of the inv      Log On


   



Question 867597: Suppose that q = 1,000,000p-6. Also suppose that you want to "invert the demand curve" and express price as a function of demand. Which of the following is an expression of the inverse demand curve?
A) p = 0.10q-1/6
B) p = 10q6
C) p = 10q-1/6
D) p = 0.10q-1/3/10
E) None of the above
Current working:
q = 1000000p^-6
q = 1000000(1/p^6)
From here I do not know how to make P = any of the above possible answers.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Here's one way to work it out:


q+=+1000000p%5E%28-6%29


q+=+%2810%5E6%29%2Ap%5E%28-6%29


q%2F%2810%5E6%29+=+p%5E%28-6%29


q%2A%281%2F%2810%5E6%29%29+=+p%5E%28-6%29


q%2A10%5E%28-6%29+=+p%5E%28-6%29


p%5E%28-6%29+=+q%2A10%5E%28-6%29


root%286%2Cp%5E%28-6%29%29+=+root%286%2Cq%2A10%5E%28-6%29%29


p%5E%28-1%29+=+root%286%2Cq%2A10%5E%28-6%29%29


p%5E%28-1%29+=+%28q%2A10%5E%28-6%29%29%5E%281%2F6%29%5E%22%22


p%5E%28-1%29+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%2810%5E%28-6%29%29%5E%281%2F6%29%5E%22%22


p%5E%28-1%29+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%2810%5E%28-6%281%2F6%29%5E%22%22%29%29


p%5E%28-1%29+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%2810%5E%28-6%2F6%29%5E%22%22%29%29


p%5E%28-1%29+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%2810%5E%28-1%29%29


p%5E%28-1%29+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%281%2F10%29


p%5E%28-1%29+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%280.10%29


1%2Fp+=+%28q%29%5E%281%2F6%29%5E%22%22%2A%280.10%29


1+=+p%2A%28q%29%5E%281%2F6%29%5E%22%22%2A%280.10%29


1%2F%28%28q%29%5E%281%2F6%29%5E%22%22%2A%280.10%29%29+=+p


10q%5E%28-1%2F6%29%5E%22%22+=+p


p+=+10q%5E%28-1%2F6%29%5E%22%22