Answer:
y = 3x - 2
Step-by-step explanation:
The 'rule' of a function table is the expression which you use to put in a value of 'x' to get the value of 'y'. In this case you can look at the table and look for a pattern of 'x' and 'y' values:
+1 +1 +1
x = 1 2 3 4
y = 1 4 7 10
+3 +3 +3
So, the 'x' is increasing by 1 each time and the y is increasing by 3. However, what is 'y' when 'x' is 0? Subtract 1 - 0 to get x = 0 and subtract 1 - 3 to get the value of 'y' or y = 1-3 = -2.
If we multiply x by 3 and subtract -2: 3x - 2, then we should get our value of 'y' each time:
y = 1(3) - 2 = 1
y = 2(3) -2 = 4
y = 3(3) - 2 = 7
y = 4(3) - 2 = 10
