Proportionality in Tables, Graphs, and Equations

Front

What is proportionality?

Back

Proportionality refers to the relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

Define the constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is found by dividing one quantity by the other.

Front

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

Back

To find the constant of proportionality in a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set them equal to each other, then solve for the unknown variable.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, it means that as one quantity increases, the other quantity also increases at a constant rate.

Front

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

Back

An example of a proportional relationship is the cost of apples per pound. If apples cost $2 per pound, then 3 pounds cost $6, maintaining a constant ratio.

Front

How can you represent proportional relationships graphically?

Back

Proportional relationships can be represented graphically with a straight line that passes through the origin (0,0) on a coordinate plane.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, indicating a direct proportionality.