Question

In an experiment, two liquids with different viscosities (thickness) are allowed to drip a drop at a time into a flask, where they are mixed. The apparatus is set up such that the first liquid drips 3 v ^3 − 2 v + 20 milliliters per minute and the second liquid drips v + 2 milliliters per minute, where v is the average viscosity of the final mixture. Which equation shows how many milliliters of the first liquid are mixed for every milliliter of the second liquid?

Answer 1

To find the equation we have to divide the rates:
( 3 v³ - 2 v + 20 ) : ( v + 2 ) =  3 v² - 6 v + 10
 -3 v³ - 6 v²
----------------
          - 6 v² - 2 v
            6 v² + 12 v
         -------------------
                      10 v + 20
                    - 10 v - 20
                   ---------------
                      r ( x ) = 0

Answer: C ) 3 v² - 6 v + 10