SOLUTION: Which function has the greatest rate of change? A.14x – 2y = 8 B. y = 6x – 5 C. x y −2 −7 −1 −2 0 3 D. A linear function that goe

Algebra ->  Linear-equations -> SOLUTION: Which function has the greatest rate of change? A.14x – 2y = 8 B. y = 6x – 5 C. x y −2 −7 −1 −2 0 3 D. A linear function that goe      Log On


   

Question 1014825: Which function has the greatest rate of change?

A.14x – 2y = 8

B. y = 6x – 5

C.
x y
−2 −7
−1 −2
0 3


D. A linear function that goes through point 1, 3 and point 0, negative 2
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Rate of change=R
R=abs%28slope%29 (Absolute value of slope)
.
A. 14x-2y=8
14x=2y+8
14x-8=2y
7x-4=y
Slope(A)=7
.
B. y=6x-5
Slope(B)=6
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C. matrix+%284%2C2%2Cx%2Cy%2C-2%2C-7%2C-1%2C-2%2C0%2C3%29
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P%5B1%5D=(x%5B1%5D,y%5B1%5D)=(-2,-7)
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P%5B2%5D=(x%5B2%5D,y%5B2%5D)=(-1,-2)
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Slope=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-2-%28-7%29%29%2F%28-1-%28-2%29%29=5
Slope(C)=5
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D. A linear function through (1,3) and (0,-2)
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P%5B1%5D=(1,3)
P%5B2%5D=(0,2)
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Slope=%282-3%29%2F%280-1%29=-1%2F-1=1
Slope(D)=1
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ANSWER: The equation with greatest rate of change (slope) is (A)
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