Week 13 Proportional Relationships Part 2

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

Define unit rate.

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the unit rate is constant for all pairs of values.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If the unit rate is 3, what does this mean in a proportional relationship?

Back

It means that for every 1 unit of the first quantity, there are 3 units of the second quantity.

Front

What does it mean if a table is not proportional?

Back

It means that the unit rate is not constant, or the relationship does not pass through the origin.

Front

How do you find the weight of an object on the moon if you know its weight on Earth?

Back

Multiply the weight on Earth by the ratio of weights on the moon to Earth, which is approximately 1/6.

Front

Write the equation for a proportional relationship where 4 pounds of oranges cost $18.

Back

y = 4.5x, where y is the cost and x is the weight in pounds.

Front

What is the formula to find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by dividing the value of the dependent variable by the value of the independent variable.

Front

If an object weighs 42 lbs on Earth, how much does it weigh on the moon?

Back

7 lbs, since the weight on the moon is 1/6 of the weight on Earth.