Question

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

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

A. Each term in Pattern X is 1/3 of the corresponding term in Pattern Y
B. Each term in Pattern X is 3 times the corresponding term in Pattern Y
C. Each term in Pattern X is 1/5 of the corresponding term in Pattern Y
D. Each term in Pattern Xis 5 times the corresponding term in Pattern Y

Answer 1

The relationship between corresponding terms in the table indicates that for each X value, the Y value is three times larger. Thus, statement B is correct, detailing that each term in Pattern X is 3 times the corresponding term in Pattern Y.

Step-by-step explanation:

The relationship between corresponding terms in the table provided can be determined by examining the ratio of the Y values to the X values. For each pair of values, dividing the Y value by the corresponding X value will reveal the relationship. Here is the calculation for the first pair: if X is 5, then Y is 15, which means 15 ÷ 5 equals 3. Repeating this process for the other pairs, we find that in each case the result is the same; each Y value is 3 times its corresponding X value.

The correct statement that explains the relationship between corresponding terms in the given table is:

B. Each term in Pattern X is 3 times the corresponding term in Pattern Y.