math

The functionf(x) = 300x/100-x models the cost, F(x) in m illions of dollars to remove x% of a rivers pollutants. If the government commits $325 million for this project, what percentage of the pollutants can be removed?

  1. 👍 0
  2. 👎 0
  3. 👁 147
  1. I will assume you meant
    f(x) = 300x/(100-x)

    so if f(x) = 325
    325 = 300x/(100-x)
    32500 - 325x = 300x
    32500 = 625x
    x = 32500/625 = 52

    so 52% has been removed.

    1. 👍 0
    2. 👎 0
  2. F(x) = 300X/(100-X) = $325M.

    300X/(100-X) = 325,
    Multiply both sides by 100-X:
    30000X - 300X^2 = 32500 - 325X,
    -300X^2 + 30000X + 325X-32,500 = 0,
    -300X^2 + 30,325X - 32,500 = 0,
    Divide both sides by -25:
    12X^2 - 1213 + 1300 = 0,
    Solve using the Quadratic Formula and
    get:

    X = 1.083%, and x = 100%.

    Solution: X = 1.08333%.

    1. 👍 0
    2. 👎 0
  3. OOPS! CORRECTION.

    Multiply both sides by 100-X and get:
    300X = (100-X)325,
    300X = 32500 - 325X,
    300X + 325X = 32500,
    625X = 32500,
    X = 52%.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of 600 miles per hour. The cost C (in dollars) per passenger is given by... C(x)= 150 + x/20 + 36,000/x Where x is the ground speed (airspeed plus or minus wind).

    asked by v on October 9, 2015
  2. Math

    the function 160x/100-x,models the cost,f(x), in millions of dollars,to remove x% of a river pollutants,if the government commits 240 million for this project, what percentage of pollutants can be removed?

    asked by Jasminee on November 8, 2015
  3. Pre-calculus

    C=80,000p/(100-p) A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much? B)draw a diagram to show what the consequences of the last question would be. Label the

    asked by Aminata on February 21, 2014
  4. statistics

    A study was conducted to investigate the relationship between the cost, y (in tens of thousands of dollars), per unit of equipment manufactured and the number of units produced per run, x. The resulting equation for the line of

    asked by edwin on December 6, 2010
  1. Algebra

    The function f(x)=(250x)/(100-x) models the cost, f(x), in millions of dollars, to remove x% of a river's pollutants. Use this functions to solve: If the government commits $750 million for this project, what percentage of the

    asked by Court on January 2, 2011
  2. Math (Confused)

    A certain economy's consumption function is given by the equation C(x)=0.75x+5 where C(x) is the personal consumption expenditure in billions of dollars and x is the disposable personal income in billions of dollars. Find C(0),

    asked by Rob on October 17, 2016
  3. math

    If b books cost d dollars, then d books cost A. b dollars B. bd dollars C. d^2/b D. b^2/d These are the worst questions. Its a SHSAT question

    asked by Beatrice on August 15, 2014
  4. calculus

    Suppose that the cost of operating a truck in Mexico is cents per mile when the truck runs at a steady speed of v miles per hour. The top speed of the truck is 100 mph. Assume that the driver is paid 10 dollars per hour to drive

    asked by annoymous on November 10, 2007
  1. function of x

    the function f(x) 100,000x/100-x models the cost in dollars for removing x percnet of the pollutants from a bayou in which a company dumped creosol. find the cost of removing 60 and then 80% of the pollutants from the bayou. Can

    asked by Anonymous on April 15, 2012
  2. math Please help me with part b

    The average cost per item, C, in dollars, of manufacturing a quantity q of cell phones is given by C= (a/q) + b where a and b are positive constants a.Find the rate of change of C as q increases. What are its units? b. Currently,

    asked by joelle on April 8, 2010
  3. math

    The graph shows the cost C in dollars to rent a car for one day as a function of the number m of miles driven. Which of the following functions models the situation?

    asked by Jonathan on December 1, 2012
  4. Math

    An airplane crosses the Atlantic Ocean​ (3000 miles) with an airspeed of 600 miles per hour. The cost C​ (in dollars) per passenger is given by C(x)=150+x/20+36,000/x What is the cost per passenger for quiescent​ (no

    asked by kimmie on October 9, 2015

You can view more similar questions or ask a new question.