Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

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

Back

Check if the ratios of corresponding values are equal.

Front

What does 'k' represent in a proportional relationship?

Back

'k' is the constant of proportionality, representing the ratio between the two quantities.

Front

How do you find the constant of proportionality (k) from two values x and y?

Back

k = y/x.

Front

If y = kx, what does this equation represent?

Back

It represents a proportional relationship where y is directly proportional to x.

Front

What is the significance of the point (0, 0) in a proportional relationship?

Back

It indicates that when x is 0, y is also 0, showing that the relationship passes through the origin.

Front

If a proportional relationship has a constant of proportionality of 60, what does this mean?

Back

For every unit increase in x, y increases by 60.

Front

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

Back

After 2 weeks, they save $94.

Front

What is the formula to find y in terms of x in a proportional relationship?

Back

y = kx.

Front

If the constant of proportionality is 3/4, what does this imply about the relationship?

Back

For every 4 units of x, y increases by 3 units.