Question

Which statement explains the relationship between corresponding terms in the table?

X Y
0 0
5 15
10 30
15 45
20 60

O Each term in Pattern X is 1/5 of the corresponding term in Pattern Y.
O Each term in Pattern X is 3 times the corresponding term in Pattern Y.
O Each term in Pattern X is 1/3 the corresponding term in Pattern Y.
O Each term in Pattern X is 5 times the corresponding term in Pattern Y

Answer 1

The correct relationship is that each term in Pattern X is 3 times the corresponding term in Pattern Y, which is verified by consistently dividing Y by X to get the number 3.

Step-by-step explanation:

To determine the relationship between the corresponding terms in the table, we need to analyze the given pairs of values. Looking at Pattern X and Pattern Y, we can see that for every value in Pattern X, we can multiply it by a constant to get the corresponding value in Pattern Y. For example, when X is 5, Y is 15, and when X is 10, Y is 30.

To verify the exact relationship, we can divide the Y value by the X value for a few pairs to see if we consistently get the same number. Let's calculate:

• 15 ÷ 5 = 3

• 30 ÷ 10 = 3

• 45 ÷ 15 = 3

• 60 ÷ 20 = 3

Since we consistently get 3, it means that each term in Pattern X is multiplied by 3 to get the corresponding term in Pattern Y. Therefore, the correct statement is: Each term in Pattern X is 3 times the corresponding term in Pattern Y.