Find an equation for the rational function graph.
-Suppose a cost-benefit model is given by $\mathrm { f } ( \mathrm { x } ) = \frac { 4.3 \mathrm { x } } { 100 - \mathrm { x } }$, where $\mathrm { y }$ is the cost in thousands of dollars for removing $x$ percent of a given pollutant. Find the cost of removing $60 \%$ to the nearest dollar.
A) $\$ 4300$
B) $\$ 6450$
C) $\$ 1500$
D) $\$ 2580$

Question

Quizplus · Accepted Answer

To find the cost of removing 60% of the pollutant, substitute $x = 60$ into the given function: $f(x) = \frac{4.3x}{100 - x}$. Thus, $f(60) = \frac{4.3 \times 60}{100 - 60} = \frac{258}{40} = 6.45$ thousand dollars, or $\$6450$.

Find an Equation for the Rational Function Graph f(x)=4.3x100−x\mathrm { f } ( \mathrm { x } ) = \frac { 4.3 \mathrm { x } } { 100 - \mathrm { x } }f(x)=100−x4.3x​

Find an Equation for the Rational Function Graph $\mathrm { f } ( \mathrm { x } ) = \frac { 4.3 \mathrm { x } } { 100 - \mathrm { x } }$