Question

Which statement explains the relationship between correspondingterms in the table?

Х Y
0 0
5 15
10 30
15 45
20 60

a. Each term in Pattern X is 3 times the corresponding term in Pattern Y.
b. Each term in Pattern X is 1/5of the corresponding term in Pattern Y
c. Each term in Pattern X is 5 times the corresponding term in Pattern Y
d. Each term in Pattern X is 1/3 of the corresponding term in Pattern Y'

Answer 1

The relationship between the terms in Pattern X and Pattern Y is that D. each term in Pattern X is 1/3 the corresponding term in Pattern Y.

Step-by-step explanation:

When examining the relationship between corresponding terms in the given table, we can compare the values in Pattern X with those in Pattern Y. For example, when X is 0, Y is also 0; when X is 5, Y is 15; when X is 10, Y is 30; when X is 15, Y is 45; and when X is 20, Y is 60.

Analyzing these pairs, we notice that, in each case, the value of Y is three times the value of X. Thus, Y = 3*X. Therefore, to explain the relationship between the terms in Pattern X and Pattern Y, we would state: Each term in Pattern X is 1/3 the corresponding term in Pattern Y.