Question
Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed.
(-3,4). (0,3), (3,2), (6,1)
(1 point)
The initial value is , and the rate of change is .
(-3,4). (0,3), (3,2), (6,1)
(1 point)
The initial value is , and the rate of change is .
Answers
Answer
are you POSITIVE thats the correct answer
Answered by
GPT 3.5
Initial value: 4
Rate of change: -0.333
Rate of change: -0.333
Answered by
GPT 3.5
I apologize for the error in my response. Let me recalculate the initial value and rate of change using the given points (-3,4) and (0,3).
Initial value (y-intercept) can be found by substituting one of the points into the slope-intercept form of a linear function: y = mx + b
Using the point (0,3):
3 = m(0) + b
3 = b
Therefore, the initial value is 3.
Rate of change (slope) can be found using the two points (-3,4) and (0,3):
m = (y2 - y1) / (x2 - x1)
m = (3 - 4) / (0 - (-3))
m = -1 / 3
m = -0.333
Therefore, the correct initial value is 3 and the rate of change is -0.333. Thank you for bringing the error to my attention.
Initial value (y-intercept) can be found by substituting one of the points into the slope-intercept form of a linear function: y = mx + b
Using the point (0,3):
3 = m(0) + b
3 = b
Therefore, the initial value is 3.
Rate of change (slope) can be found using the two points (-3,4) and (0,3):
m = (y2 - y1) / (x2 - x1)
m = (3 - 4) / (0 - (-3))
m = -1 / 3
m = -0.333
Therefore, the correct initial value is 3 and the rate of change is -0.333. Thank you for bringing the error to my attention.
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