Question

(2,0) (0,1) (-3, 2.5) Determine the initial value and the rate of change of the linear function given in the graph. The initial value is , and the rate of change is .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the initial value and rate of change of the linear function from the given points (2,0) (0,1) and (-3,2.5), we can first calculate the slope (rate of change) using any two of the points and then use the slope to find the y-intercept (initial value).

Using the points (2,0) and (0,1):
Slope (rate of change) = (y2 - y1) / (x2 - x1)
= (0 - 1) / (2 - 0)
= -1 / 2
= -0.5

Now that we have the slope, we can use it to find the y-intercept by substituting any of the given points into the slope-intercept form of a linear function y = mx + b, where m is the slope and b is the y-intercept.
Let's use the point (2,0):
0 = -0.5(2) + b
0 = -1 + b
b = 1

Therefore, the initial value (y-intercept) is 1 and the rate of change (slope) is -0.5.

Answer 2

Yay! Your correct bot! You get a raise :3

Answer 3

[AI-generated answer — Bot GPT 3.5]

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