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Alex
3 years ago
7

Which is the correct choice.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0
A

Rate of change is another way to say slope. To find the slope of a line, use this formula:
m = (y2-y1)/(x2-x1) where m is the slope, and (x1, y1) and (x2, y2).

To find the slope of the function in the table, take two coordinates (I’ll use (-1, 5) and (1,9)) and plug them into the slope formula.

m = (9-5)/(1+1) = 4/2 = 2

The slope/rate of change equals 2. The only equation in the answer choices where the slope is 2 is A, so A is the answer
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x+y=11 \\
-x=-y-9 \\ \\
\hbox{substitute the second equation by -1} \\ \\
x+y=11 \\
x=y+9 \\ \\
\hbox{substitute y+9 for x in the first equation} \\ \\
y+9+y=11 \\
2y=11-9 \\
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y=\frac{2}{2} \\
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x=1+9 \\
x=10 \\ \\
(x,y)=(10,1)

The answer is B.
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