Question

Which two quantities are in a proportional relationship, and why?

Answer 1

Answer:

$\frac{3}{4} =\frac{18}{24}$ The ratios are the same .

Step-by-step explanation:

When  y ∝ x then,

$y=k*x$

When y ∝ 1/x then

$y=\frac{k}{x}$

while k is a constant.

Answer 2

Answer:

3/4 and 18/24; the ratios are the same.

Step-by-step explanation:

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "three is to four as eighteen is to twenty-four."

In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Here, 3 and 24 are the extremes, and 4 and 18 are the means. Since the cross products are both equal to 60, we know that these ratios are equal and that this is a true proportion.