Question

a scatterplot of some data is shown.

which model best represents the data?

question 8:
the graph of a system of equations is shown.

what is the solution to this system of equations? enter the x-coordinate in the first box and the y-coordinate in the second box.
( , )

Explanation:

First Question (Scatterplot Model)

Compare the original scatterplot's data points to each option. The original data has y-values that decrease gradually and level off slightly, not dropping to 0 at x=8. Option A's line drops to 0, which doesn't match. Option B's line is too steep and also approaches 0. Option C has a flat trend that doesn't match the initial decrease. Option D's line follows the gradual downward trend of the original data points closely.

Step1: Identify intersection point

The solution of a system of linear equations is the point where the two lines intersect on the graph. Locate this point on the coordinate plane.

Step2: Read coordinates

From the graph, the lines intersect at $x=3$, $y=-5$.

Answer:

D. <The scatterplot model with a line that gradually decreases, matching the original data's trend>

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Second Question (System of Equations)