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.

Answer 1

To find the best estimate of the solution to the system of linear equations given by:

1. \( x + y = 975 \) (representing the total investment)
2. \( 0.05x + 0.12y = 111 \) (representing the total investment income)

we would look for the point of intersection of the two lines on the graph.

Since I cannot see the graph, however, I would suggest that you check for a point on the graph where both equations are satisfied—meaning the x-value and y-value at that point should add up to 975, and when plugged into the second equation should yield an income of 111.

Once you locate that point where the two lines intersect, that would represent the solution to the system of equations and hence should be your answer. If you have options, input that specific point that satisfies both equations.