Question

Y≤ 20x+350

y≤ -8x
When graphed in the xy -plane, the solution set of the given system of inequalities contains the point (j,k). What is the greatest possible value of k?

Answer 1

To find the maximum possible value of k in the solution set of the given system of inequalities, we need to find the intersection point of the two inequalities and then determine the y-coordinate of that point. First, graph the two inequalities on the xy-plane. The intersection point of the two lines represents a valid solution for the system of inequalities. Find the coordinates of this point and determine the y-coordinate, which represents the maximum value of k.

Step-by-step explanation:

To find the maximum possible value of k in the solution set of the given system of inequalities, we need to find the intersection point of the two inequalities and then determine the y-coordinate of that point.

First, graph the two inequalities on the xy-plane:

1. Plot the line y = 20x + 350. Choose two x-values and find the corresponding y-values to plot the line.
2. Plot the line y = -8x. Choose two x-values and find the corresponding y-values to plot the line.

The intersection point of the two lines represents a valid solution for the system of inequalities. Find the coordinates of this point and determine the y-coordinate, which represents the maximum value of k.