Solve the problem. Round to two decimal places unless otherwise indicated.
-Suppose a cost-benefit model is given by $\mathrm { y } = \frac { 8.5 \mathrm { x } } { 100 - \mathrm { x } }$, where $\mathrm { y }$ is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing $55 \%$ to the nearest dollar.
A) $\$ 10,389$
B) $\$ 1222$
C) $\$ 4675$
D) $\$ 8500$

Question

Quizplus · Accepted Answer

To find the cost of removing 55% of a pollutant, substitute $x = 55$ into the given model: $y = \frac{8.5 \cdot 55}{100 - 55}$. Simplifying, $y = \frac{467.5}{45}$, which equals approximately 10.38889 thousand dollars. Rounding to the nearest dollar and converting to dollars gives us \$10,389.

Solve the Problem y=8.5x100−x\mathrm { y } = \frac { 8.5 \mathrm { x } } { 100 - \mathrm { x } }y=100−x8.5x​

Solve the Problem $\mathrm { y } = \frac { 8.5 \mathrm { x } } { 100 - \mathrm { x } }$