7th 2-3 Understand Proportional Relationships M

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you determine if a table shows a proportional relationship?

Back

Check if the ratios of y to x are the same for all pairs of values.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1.

Front

If a car travels 374 meters in 17 seconds, how do you find the speed in meters per second?

Back

Divide the distance by the time: 374 meters ÷ 17 seconds = 22 meters per second.

Front

What does a ratio of 5:1 indicate in a proportional relationship?

Back

It indicates that for every 5 units of y, there is 1 unit of x.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio of y to x is not constant.

Front

If the ratio of y to x is 10:1, is this a proportional relationship?

Back

Yes, if the ratio remains constant across all pairs.

Front

What is the significance of the unit rate in real-life applications?

Back

It helps compare different quantities and understand rates, like speed or price per item.

Front

How can you express a proportional relationship using an equation?

Back

y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

It is the constant value (k) that relates y and x in a proportional relationship.