5.2 Ext Warm Up

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if the cross products are equal.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

If x = 2 and y = 4, are x and y proportional?

Back

No, because the ratio of x to y is 1:2, which is not constant.

Front

If the ratio of a to b is 3:4, what is the ratio of 2a to 2b?

Back

The ratio of 2a to 2b is also 3:4, as multiplying both terms by the same number does not change the ratio.

Front

What is the definition of a constant ratio?

Back

A constant ratio means that the relationship between two quantities does not change, regardless of their values.

Front

If two ratios are 1:2 and 2:4, are they proportional?

Back

Yes, because the cross products (1*4 and 2*2) are equal.

Front

What is an example of non-proportional quantities?

Back

The quantities 3 and 5 are non-proportional because their ratio (3:5) does not equal a constant ratio with another pair.

Front

What does it mean if two ratios are not proportional?

Back

It means that the ratios do not maintain a constant relationship and their cross products are not equal.

Front

If x = 3 and y = 6, what is the ratio of x to y?

Back

The ratio of x to y is 1:2, which is proportional.