Proportional Relationships

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 it mean for two quantities to be in a constant ratio?

Back

It means that as one quantity increases or decreases, the other quantity changes in a way that maintains the same ratio.

Front

How can you identify a proportional relationship from a table of values?

Back

If the ratios of corresponding values are the same for all pairs, then the relationship is proportional.

Front

What is the formula for a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of y to x in the equation y = kx.

Front

How do you find the constant of proportionality from a graph?

Back

You can find it by determining the slope of the line, which is the change in y divided by the change in x.

Front

What does it mean if a graph passes through the origin (0,0)?

Back

It indicates that the relationship is proportional, as both quantities are zero when the other is zero.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object where the dimensions are proportional to the actual dimensions.

Front

If a rectangle's length is 4 cm and its width is 2 cm, what is the ratio of length to width?

Back

The ratio of length to width is 4:2, which simplifies to 2:1.

Front

What is the discount amount if an item costs $100 and is marked down by 25%?

Back

The discount amount is $25.