Writing equations for proportional relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If y = 4.5x, what is the constant of proportionality?

Back

The constant of proportionality is 4.5.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

Write the equation for the cost, y, of x pounds of oranges if 4 pounds cost $18.

Back

y = 4.5x.

Front

If the constant of proportionality is 3, what is the equation for y in terms of x?

Back

y = 3x.

Front

What is the relationship between distance and time in a proportional relationship?

Back

In a proportional relationship, distance is equal to speed multiplied by time.

Front

If Ammonie rides her bicycle at a speed of 14 miles per hour, what equation represents her distance, m, in terms of hours, h?

Back

m = 14h.

Front

What is the constant of proportionality if y = 2/9 x?

Back

The constant of proportionality is 2/9.