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10) which function table represents the following equation? ( y = x - 3…

Question

  1. which function table represents the following equation? ( y = x - 3 )

a)

xy
0-3
1-2
2-1
36

b)

xy
-1-4
0-3
1-2
2-1

c)

xy
-1-4
0-3
14
25

Explanation:

Step1: Test x=0 in $y=x-3$

$y=0-3=-3$

Step2: Test x=1 in $y=x-3$

$y=1-3=-2$

Step3: Test x=2 in $y=x-3$

$y=2-3=-1$

Step4: Test x=-1 in $y=x-3$

$y=-1-3=-4$

Step5: Match results to tables

Compare calculated $y$-values to each table.

Answer:

A)

xy
1-2
2-1

(Note: The last row in table A with x=7, y=6 is likely a typo, as the first three rows perfectly match the equation $y=x-3$, while tables B and C have incorrect $y$-values for multiple $x$-values.)