Proportions from Tables

Front

What is a proportion?

Back

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

Front

How do you determine if a table is proportional?

Back

A table is proportional if the ratios of the corresponding values are equivalent.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If a table shows the values (2, 6) and (3, 9), is it proportional?

Back

Yes, because the ratios 2:6 and 3:9 simplify to the same value (1:3).

Front

What does it mean to fill in a missing number in a ratio table?

Back

It means to find a value that maintains the proportional relationship between the given numbers.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If k = 30, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by 30.

Front

How can you solve a proportion?

Back

You can solve a proportion by cross-multiplying the values and then isolating the variable.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

What is the significance of the ratio 1:2 in a proportional table?

Back

It indicates that for every 1 unit of the first quantity, there are 2 units of the second quantity.