SOLUTION: Which function has the greatest rate of change? A. x y 1 −3 2 −8 3 −13 B. y = 3x – 8 C. 8x + 4y = 16 D. A linear function that goes through point 2, 0 and point 0
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Question 1014801: Which function has the greatest rate of change? A. x y 1 −3 2 −8 3 −13 B. y = 3x – 8 C. 8x + 4y = 16 D. A linear function that goes through point 2, 0 and point 0, 2
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
I will understand your question as asking which linear function has the greatest absolute value of the slope.
The first line has a slope of -5, so the absolute value is 5.
The second line has a slope of 3, from the slope-intercept form. Its absolute value is 3.
The 3rd line has a slope of -2, and so its absolute value is 2.
The last line has slope of -1, with absolute value 1.
Therefore, the line that has the greatest rate of change is the 1st line, choice A.
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