7.RP.2 Flashcard

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 can you identify a proportional relationship from an equation?

Back

If the equation is in the form y = kx (where k is a constant), it represents a proportional relationship. If there is an added or subtracted constant, like in y = 2x - 1, it is not proportional.

Front

What does it mean if a graph is a straight line through the origin?

Back

It indicates a proportional relationship between the variables represented on the axes.

Front

What is the formula to solve a proportion?

Back

Cross-multiply the two ratios and set them equal to each other.

Front

If 4 apples are produced by 1 tree, how many apples are produced by 3 trees?

Back

12 apples (4 apples/tree * 3 trees = 12 apples).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities.

Front

How do you solve for x in the proportion 4/x = 2/8?

Back

Cross-multiply: 4 * 8 = 2 * x, so x = 16.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where the second quantity is 1.

Front

How do you determine if a set of data points represents a proportional relationship?

Back

Check if the ratios of the corresponding values are equivalent.

Front

What is an example of a non-proportional relationship?

Back

An equation like y = 3x + 2 is non-proportional because it does not pass through the origin.