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 pollutants can be removed?

75%

To solve this problem, we need to find the value of x in the function f(x) when the cost is $750 million.

Given that f(x) represents the cost in millions of dollars, we can set up the equation as follows:

(250x) / (100 - x) = 750

To solve this equation, we will follow these steps:

Step 1: Multiply both sides of the equation by (100 - x) to eliminate the denominator:
250x = 750(100 - x)

Step 2: Distribute 750 to the terms inside the parentheses:
250x = 75000 - 750x

Step 3: Combine like terms by adding 750x to both sides of the equation:
250x + 750x = 75000

Step 4: Simplify and solve for x:
1000x = 75000

Divide both sides of the equation by 1000:
x = 75000 / 1000
x = 75

Therefore, to remove 75% of the pollutants, the government needs to commit $750 million for this project.