Provide an appropriate response.
-The rational expression $\frac { 120 x } { 100 - x }$ describes the cost, in millions of dollars, to inoculate x percent of the current population of cattle against a particular virus. Choose which of the following statements are true with regard to this mathematical model.
I. The expression will be undefined when $x = 100$.
II. The cost of inoculating 70 percent of cattle is 100 million dollars more than the cost of inoculating 60 percent of cattle.
III. This expression will calculate inoculation costs for any population of cattle, no matter what the size.

Question

Quizplus · Accepted Answer

Statement I is true because the denominator becomes zero when $x = 100$, making the expression undefined. Statement II is true because substituting $x = 70$ and $x = 60$ into the expression shows a difference of 100 million dollars. Statement III is false because the expression is specific to the current population size and does not account for different population sizes.

Provide an Appropriate Response 120x100−x\frac { 120 x } { 100 - x }100−x120x​

Provide an Appropriate Response $\frac { 120 x } { 100 - x }$