Suppose a cost-benefit model is given by f(x) $$f ( x ) = \frac { 3.9 x } { 100 - x }$$ , where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 30% to the nearest dollar.
A) $3900
B) $1170
C) $1671
D) $428

Question

Quizplus · Accepted Answer

To find the cost of removing 30% of a pollutant, substitute x = 30 into the given function: $f(30) = \frac{3.9 \times 30}{100 - 30} = \frac{117}{70} = 1.671$. Since the cost is in thousands of dollars, $1.671 thousand equals $1671.

Suppose a Cost-Benefit Model Is Given by F(x) f(x)=3.9x100−xf ( x ) = \frac { 3.9 x } { 100 - x }f(x)=100−x3.9x​

Suppose a Cost-Benefit Model Is Given by F(x) $f ( x ) = \frac { 3.9 x } { 100 - x }$