Rule of Relationship
We are given a table of values of x and y. It's required to select which of the choices best represents the rule that describes the relationship between them.
• Multiply by 2 and add 1:
This rule is not accurate. The first value of x is 0. If we do the operations as indicated we would get y = 2*0 + 1 = 1.
Since the value of y is 3 and not 1, this is not the rule.
• Multiply by 3 and subtract 2:
This rule is not accurate. The first value of x is 0. If we do the operations as indicated we would get y = 3*0 - 2 = -2.
Since the value of y is 3 and not -2, this is not the rule.
• Multiply by 3 and add 2:
This rule is not accurate. The first value of x is 0. If we do the operations as indicated we would get y = 3*0 + 2 = 2.
Since the value of y is 3 and not 2, this is not the rule.
• Multiply by 2 and add 3:
For x=0, y = 2*0 + 3 = 3. This value is correct.
For x=1, y = 2*1 + 3 = 5. This value is correct.
For x=2, y = 2*2 + 3 = 7. This value is correct.
For x=3, y = 2*3 + 3 = 9. This value is correct.
For x=4, y = 2*4 + 3 = 11. This value is correct.
For x=5, y = 2*5 + 3 = 13. This value is correct.
This rule is correct and this last choice must be selected.