Question

Plss help me I don’t understand this

Answer 1

Answer: Approximately -0.2667

Step-by-step explanation

This strange interesting curve appears to pass through (4,4); however, upon closer inspection, it seems to pass a bit below this location. I'll nudge the point down to get something like (4,3.8)

Also, the curve appears to go through (7,3). It doesn't appear that any adjustments are necessary.

Use the slope formula to find the slope through those points. It will give the average rate of change on the interval 4 ≤ x ≤ 7

`\text{Given Points: }(x_1,y_1) = (4,3.8) \text{ and } (x_2,y_2) = (7,3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (3 - 3.8)/(7 - 4)\\\\m = (-0.8)/(3)\\\\m \approx -0.2667\\\\`

This is an estimate because your teacher didn't provide the exact coordinates. Any time we rely solely on a graph, we cannot determine exact answers (since the diagram wouldn't be to scale).