Question

do these pairs of values (x and y) represent two quantities that are proportional?

x	y
4	8
10	15
18	27

a. no, because not all of the pairs represent the same ratio.
b. no, because not all of the x - values can be divided by 2 evenly.
c. yes, because all of the pairs represent the same ratio.
d. yes, because as x increases, y increases.

Explanation:

Step1: Calculate ratio for first pair

$\frac{y}{x} = \frac{3}{1} = 3$

Step2: Calculate ratio for second pair

$\frac{y}{x} = \frac{8}{4} = 2$

Step3: Compare ratios

$3
eq 2$, so ratios are not equal.

Step4: Verify remaining pairs (optional)

$\frac{15}{10}=1.5$, $\frac{27}{18}=1.5$; all ratios differ.

Answer:

A. No, because not all of the pairs represent the same ratio.