Question

50POINTS

Do these pairs of values (x and y) represent two quantities that are
proportional?
xy
3 5
4 7
6 10
9 15

Answer 1

• D. No because not all of the pairs are simplified ratios

Explanation:

The proportional relationship is:

• y = kx, where k- constant of proportionality

Let's find the value of k for each pair and compare:

• k = y/x

• 1) x = 3, y = 5 ⇒ k = 5/3
• 2) x = 4, y = 7 ⇒ k = 7/4
• 3) x = 6, y = 10 ⇒ k = 10/6 = 5/3
• 4) x = 9, y = 15 ⇒ k = 15/9 = 5/3

As we see thee of the pairs have same value of k, 5/3 and one is different 7/4.

The answer is no.

Answer choices given in the comment:

• A. No because not all the pairs represent the same ratio
• B. Yes because the ratios 3/5 and 6/10 are equal
• C. Yes because as x increases y increases
• D. No because not all of the pairs are simplified ratios