The cost C in dollars of removing p % of the air pollutants in the stack emissions of a utility company is modeled by the equation below. Determine the percent of air pollutants in the stack emissions that can be removed for $\$ 480,000$ . $$\mathrm { C } = \frac { 160,000 p } { 100 - p }$$
A) $75 \%$
B) $79 \%$
C) $68 \%$
D) $62 \%$
E) $45 \%$

Question

Quizplus · Accepted Answer

Given the cost C = $480,000, we substitute this value into the equation and solve for p: $480,000 = \frac{160,000p}{100-p}$. Solving this equation yields p = 75%.

The Cost C in Dollars of Removing P % of the Air