Pls answeer provide evidence as well:)

No, the relation of hours of study time to grade earned on a test is not a function because there cannot be more than one output for one input. Also, the graph of the points doesn't pass the vertical line test.

Step-by-step explanation:

In order for something to be classified as a function, it needs to follow two rules:

1. There can only be one output for a certain input.

Although different inputs can have the same output, one input can't have more than one output. In this problem, the input 6 has two outputs: 75 and 82. So, the relation is not a function.

2. The graph of the points has to pass the vertical line test.

First, take the points from the table and graph them. These points are:

(4, 75), (6, 75), and (6, 82).

The vertical line test states that if a vertical line drawn on the graph intersects the graph more than once, then the graph isn't a function. In this case, a vertical line can be drawn at x = 6. This line ends up intersecting two points: (6, 75) and (6, 82). Since the vertical line intersected the graph at two points, the graph of the relation isn't a function.