Proportional Relationships

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 quantity is constant.

Front

What is the constant of proportionality?

Back

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

Front

If p = 0.8L, what does 0.8 represent?

Back

0.8 represents the cost per meter of the nylon rope.

Front

How do you find the weight of multiple concrete blocks?

Back

Multiply the number of blocks (b) by the weight of each block (28 pounds): w = 28b.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number.

Front

If Carley needs 3 liters of soda for every 12 guests, how much soda does she need for 48 guests?

Back

Carley needs 12 liters of soda for 48 guests.

Front

What is the formula to find the total cost in a proportional relationship?

Back

Total cost = (cost per unit) x (number of units).

Front

How can you express a proportional relationship in an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does it mean if two quantities are directly proportional?

Back

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

Front

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

Back

An example is the relationship between distance and time when driving at a constant speed.