A career-placement test eliminates a profession when a person receives a score of 18 or less. The score is equal to the formula 2x - 3y, where x is the number of positive responses and y is the number of negative responses. Which graph represents the range of test results that would be eliminated under this scenario (all points may not apply to the scenario)?

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Answer:

To determine the graph that represents the range of test results that would be eliminated, we need to plot the points that satisfy the condition of the score being 18 or less.

The formula for the score is 2x - 3y, where x is the number of positive responses and y is the number of negative responses.

To find the range of test results that would be eliminated, we need to find the points (x, y) that satisfy the inequality 2x - 3y ≤ 18.

We can rearrange the inequality to y ≥ (2x - 18)/3.

Now, we can plot the graph of y = (2x - 18)/3 and shade the region above the line to represent the range of test results that would be eliminated.

The graph will have a positive slope of 2/3 and a y-intercept of -6.

Please note that without specific values for x and y, we cannot provide an exact graph. However, the general shape of the graph will be a line with a positive slope and a shaded region above it.