Which function has the greatest rate of change?
2 answers:
For an equation expressed as Ax + By + C, the rate of change is equal to -A/B. For the first equation, it is 6/7. For the second equation, the slope is 2. Then for the third equation, m = (19 - 7) / (4 -2) = 6. Thus, the greatest slope is in third choice.
The rate of change is the slope...and in y = mx + b form, the slope is in the m position. So we need to put the equations in y = mx + b form. A. 6x - 7y = 21 -7y = -6x + 21 y = 6/7x - 2....so the slope here is 6/7 or 0.857 B. y = 2x - 2....this is already in the form we need...the slope is 2 C. (2,7)(3,13) slope = (13-7) /(3-2) = 6/1 or just 6 the slope with the greatest rate of change is gonna be the one with the highest slope......and that would be C.
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