FA 3.2 Proportional Relationships/Scale Factor

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 quantity is constant.

Front

What does the scale factor represent?

Back

The scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller one figure is compared to another.

Front

How do you find the slope (m) of a line?

Back

The slope (m) is found using the formula m = \frac{y_2 - y_1}{x_2 - x_1}, which represents the change in y over the change in x.

Front

What does the point (2, 94) represent in a proportional relationship?

Back

The point (2, 94) represents that after 2 weeks, they save $94.

Front

If \frac{3}{4}=\frac{15}{x}, what is x?

Back

x = 20.

Front

What is the meaning of a rate of change?

Back

A rate of change describes how one quantity changes in relation to another quantity.

Front

What does a scale factor of 3 mean in a proportional relationship?

Back

A scale factor of 3 means that the new figure is 3 times larger than the original figure.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent 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 = \frac{y}{x}, where y is the dependent variable and x is the independent variable.

Front

What does a graph with a slope of 2 boys for every 1 girl indicate?

Back

It indicates that for every 1 girl, there are 2 boys.