Proportional Relationships with Tables

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 constant of proportionality (k)?

Back

The constant of proportionality (k) is the constant factor that relates two proportional quantities, represented in the equation y = kx.

Front

Write the equation for a proportional relationship where k = 5.

Back

y = 5x

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values of x and y are constant.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values of x and y are not constant.

Front

If x = 4 and y = 12, what is the constant of proportionality (k)?

Back

k = 3 (since y = kx, 12 = k(4) => k = 12/4 = 3).

Front

What is the relationship between x and y if y = 2x + 1?

Back

The relationship is not proportional because it includes a constant term (1) that affects the ratio.

Front

If a table shows the values (2, 6), (4, 12), (6, 18), what is the constant of proportionality (k)?

Back

k = 3 (since 6/2 = 12/4 = 18/6 = 3).

Front

What is the first step to determine if a relationship is proportional?

Back

The first step is to calculate the ratios of y to x for each pair of values.

Front

If the ratio of y to x is always 4, what is the equation of the proportional relationship?

Back

y = 4x