2.8 homework A7th honors 24.25

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

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you identify a proportional relationship from an equation?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a constant.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant ratio between the two quantities.

Front

If the total cost of a vacation increases as more people attend, what type of relationship is this?

Back

This is a non-proportional relationship if the cost does not increase at a constant rate.

Front

What is the equation of a line that is proportional?

Back

y = 0.5x is an example of a proportional equation.

Front

What does it mean if a graph is non-proportional?

Back

It means that the graph does not pass through the origin and the ratios of y to x are not constant.

Front

How do you determine if a table of values represents a proportional relationship?

Back

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

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero.

Front

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

Back

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