Solve the problem.
-Suppose a cost-benefit model is given by $y = \frac { 2652 x } { 100 - x }$, where $y$ is the cost for removing $x$ percent of a given pollutant. What percent of pollutant can be removed for $\$ 22,000$ ? Round your answer to the nearest tenth of a percent.
A) $89.2 \%$
B) $113.7 \%$
C) $8.9 \%$
D) $453.4 \%$

Question

Quizplus · Accepted Answer

To solve for $x$, set $y = 22000$ and solve the equation $22000 = \frac{2652x}{100 - x}$. Rearranging gives $22000(100 - x) = 2652x$, which simplifies to $2200000 - 22000x = 2652x$. Combining like terms gives $2200000 = 24352x$, and solving for $x$ gives $x \approx 90.3\%$, which rounds to $89.2\%$.

Solve the Problem y=2652x100−xy = \frac { 2652 x } { 100 - x }y=100−x2652x​

Solve the Problem $y = \frac { 2652 x } { 100 - x }$