The daily costC(in dollars) of removing pollution from the smokestack of a coal-fired electric power plant is related to the percent of pollution p being removed according to the equation 100C - Cp = 10,500.

1. Solve this equation for C to write the daily cost as a function of p, the percent of pollution removed.
2. What is the daily cost of removing 50% of the pollution?
3. Why would this company probably resist removing 99% of the pollution?

The surface area of a cube is f(x) =6x²square centimeters, where x is the length of the edge of the cube in centimeters.

1. For what values of x does this model make sense? Is the model a one-to-one function for these values of x?
2. What is the inverse of this function on this interval?
3. How could the inverse function be used?