Proportions Test.A2

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant for all pairs of values in a proportional relationship.

Front

What does it mean for a function to be a direct variation?

Back

A function is a direct variation if it can be expressed in the form y = kx, where k is a non-zero constant. In this case, the ratio of y to x is constant.

Front

If the constant of proportionality is 12, what is the relationship between the variables?

Back

If k = 12, then for every unit increase in x, y increases by 12 units, indicating a direct variation.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratios of corresponding values are equal, meaning the constant of proportionality remains the same.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y and x are corresponding values in a proportional relationship.

Front

If 1 can of paint can paint 3 birdhouses, how many birdhouses can 2 cans paint?

Back

6 birdhouses (since 2 cans would double the amount of paint available).

Front

In a proportional relationship, what happens to the ratios if one quantity is doubled?

Back

If one quantity is doubled, the other quantity must also double to maintain the proportional relationship.

Front

What is the relationship between sugar and flour in Eddie's cookie recipe?

Back

For every 1/5 cup of sugar, there are 2 cups of flour, indicating a proportional relationship.

Front

If you have 3 cups of sugar, how many cups of flour do you need based on Eddie's recipe?

Back

30 cups of flour (since 3 cups of sugar would require 3 times the amount of flour, which is 10 cups for 1 cup of sugar).

Front

What does it mean if the ratios in a table are not equal?

Back

If the ratios are not equal, the relationship is not proportional, meaning there is no constant of proportionality.