Proportional relationships in graphs H.W 6

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 the equation of a proportional relationship?

Back

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio of the dependent variable (y) to the independent variable (x) in a proportional relationship.

Front

If k = 20, what does this mean in a proportional relationship?

Back

If k = 20, it means that for every 1 unit increase in x, y increases by 20 units.

Front

True or False: A graph that does not pass through the origin is proportional.

Back

False.

Front

What is the value of k if y = 54 when x = 6?

Back

Front

If a graph shows a straight line that passes through (0,0) and (2,4), is it proportional?

Back

Yes, because it passes through the origin and the ratio of y to x is constant (2).

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality (k).

Front

If k = -1/20, what does this indicate about the relationship?

Back

It indicates that as x increases, y decreases, showing an inverse relationship.