SOLUTION: Suppose that the daily demand q (in hundreds of cups) for mocha coffees at Fourbucks follows the equation q = 1000p-.5, where p = price in dollars. If we graphed Ln p on the x axis

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose that the daily demand q (in hundreds of cups) for mocha coffees at Fourbucks follows the equation q = 1000p-.5, where p = price in dollars. If we graphed Ln p on the x axis      Log On


   



Question 1045936: Suppose that the daily demand q (in hundreds of cups) for mocha coffees at Fourbucks follows the equation q = 1000p-.5, where p = price in dollars. If we graphed Ln p on the x axis and Ln q on the y axis, what type of graph would we obtain? Hint: Take logarithms of both sides of the demand curve.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
You would obtain a straight line falling from left to right.
To see this, as per your hint,
q+=+1000%2Fp%5E0.5 ===> lnq+=+ln1000+-+lnp%5E0.5
===> lnq = -0.5lnp + 3ln10.
(Your independent variable is lnp and your dependent variable is lnq. The line would have slope -0.5 and lnq-intercept 3ln10.)