Question

is it true or false that the values (3,9) (4,12), and (5,15) represents a proportional relationship

Answer 1

in the proportion, the cross products of the ratios are alway equal true or false

Answer 2

True. The values (3, 9), (4, 12), and (5, 15) represent a proportional relationship because the ratios of the y-values to the x-values remain constant.

For example:
- The ratio of 9/3 is 3.
- The ratio of 12/4 is 3.
- The ratio of 15/5 is 3.

Since the ratios are consistent and equal to 3, it indicates that there is a proportional relationship between the values.

Answer 3

True. In a proportion, the cross products of the ratios are always equal. This property is known as the cross product property of proportions.

For example, if we have the proportion a/b = c/d, then the cross products, ad and bc, will always be equal.

This can be represented as:
a/b = c/d -> ad = bc

So, it is true that the cross products of the ratios in a proportion are always equal.