Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the number that relates the two variables in a proportional relationship.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x.

Front

If y = 14x, what is the value of k when x = 2?

Back

k = 14 * 2 = 28.

Front

What does it mean if k is greater than 1 in a proportional relationship?

Back

If k is greater than 1, it means that y increases faster than x.

Front

What does it mean if k is less than 1 in a proportional relationship?

Back

If k is less than 1, it means that y increases slower than x.

Front

Is the equation x/y = 3 a proportional relationship?

Back

Yes, because k = 3.

Front

What is the relationship between direct variation and proportions?

Back

Direct variation is a specific type of proportion where one variable is a constant multiple of another.

Front

If the ratios 2:3 and 4:6 are compared, do they form a proportion?

Back

Yes, because 2/3 = 4/6.