Use the image to answer the question.

Question

Chris put a total of $975 in two different investments, one that earned 5% interest and one that earned 12% interest. The total investment income was $111. If x represents the amount invested at 5% and y represents the amount invested at 12%, the system of linear equations that models the scenario is the following:

{x+y=9750.05x+0.12y=111

The system of linear equations is shown in the following graph.

Two lines are graphed on the coordinate plane.

Which point represents the best estimate to the solution of the system of linear equations?

(1 point)
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The point that is the best estimate to the solution of the system of linear equations is Response area.
Remaining Attempts : 3

Answer 1

To determine the best estimate of the solution to the system of linear equations from the graph, we need to look for the point where the two lines intersect. This point gives the values of \( x \) and \( y \) that satisfy both equations.

Although I cannot see the graph, typically for such problems, the intersection point should be found by identifying where the two lines meet.

As a general guideline, if you can observe the graph, look for the coordinates that represent the intersection of the two lines, and that will be your best estimate for the solution. The coordinates of the intersection will give you the values of \( x \) (amount invested at 5%) and \( y \) (amount invested at 12%).

If you're analyzing numerical options or coordinates on the graph, select the closest pair of coordinates that would indicate the values satisfying both equations.

Please select and insert up to the best estimated coordinates based on the visual data presented in your graph.