Solve the problem.
-The rational function
$$C ( x ) = \frac { 135 x } { 100 - x } , 0 \leq x

Question

Solve the problem.
-The rational function
$$C ( x ) = \frac { 135 x } { 100 - x } , 0 \leq x < 100$$
describes the cost, $\mathrm { C }$, in millions of dollars, to inoculate $x \%$ of the population against a particular strain of the flu. Determine the difference in cost between inoculating $65 \%$ of the population and inoculating $40 \%$ of the population. (Round to the nearest tenth, if necessary.)
A) $\$ 160.7$ million
B) $\$ 1.3$ million
C) $\$ 160.8$ million
D) $\$ 1.4$ million

Quizplus · Accepted Answer

To find the difference in cost between inoculating 65% and 40% of the population, we substitute $x = 65$ and $x = 40$ into the given function and calculate the difference. For $x = 65$, $C(65) = \frac{135 \cdot 65}{100 - 65} = \frac{8775}{35} = 250.7$ million dollars. For $x = 40$, $C(40) = \frac{135 \cdot 40}{100 - 40} = \frac{5400}{60} = 90$ million dollars. The difference is $250.7 - 90 = 160.7$ million dollars.

Solve the Problem C(x)=135x100−x,0≤x<100C ( x ) = \frac { 135 x } { 100 - x } , 0 \leq x < 100C(x)=100−x135x​,0≤x<100

Solve the Problem $C ( x ) = \frac { 135 x } { 100 - x } , 0 \leq x < 100$