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What you can be used to describe the relationship between X and y in the table

What you can be used to describe the relationship between X and y in the table-example-1

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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.

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