Question

c circle the tables that show an additive pattern ($y = x + a$).

Explanation:

Step1: Check the first table

For \(x = 2,y=3\), if \(y=x + a\), then \(3=2 + a\), \(a = 1\).
Check \(x = 4\), \(y=4 + 1=5\) (matches).
Check \(x = 6\), \(y=6 + 1=7\) (matches).
Check \(x = 8\), \(y=8 + 1=9\) (matches).

Step2: Check the second table

For \(x = 1,y = 7\), if \(y=x + a\), then \(7=1+a\), \(a = 6\).
Check \(x = 2\), \(y=2 + 6=8
eq14\) (does not match).

Step3: Check the third table

For \(x = 5,y = 8\), if \(y=x + a\), then \(8=5+a\), \(a = 3\).
Check \(x = 10\), \(y=10 + 3=13\) (matches).
Check \(x = 15\), \(y=15 + 3=18\) (matches).
Check \(x = 20\), \(y=20 + 3=23\) (matches).

Step4: Check the fourth table

For \(x = 0,y = 5\), if \(y=x + a\), then \(a = 5\).
Check \(x = 1\), \(y=1 + 5=6\) (matches).
Check \(x = 2\), \(y=2 + 5=7\) (matches).
Check \(x = 3\), \(y=3 + 5=8\) (matches).

Step5: Check the fifth table

For \(x = 4,y = 8\), if \(y=x + a\), then \(8=4+a\), \(a = 4\).
Check \(x = 8\), \(y=8 + 4=12
eq16\) (does not match).

Step6: Check the sixth table

For \(x = 3,y = 7\), if \(y=x + a\), then \(7=3+a\), \(a = 4\).
Check \(x = 6\), \(y=6 + 4=10\) (matches).
Check \(x = 9\), \(y=9 + 4=13\) (matches).
Check \(x = 12\), \(y=12 + 4=16\) (matches).

Answer:

The first, third, fourth and sixth tables.