Unit Rate and Constant of Proportionality 2

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities. It is the same as the unit rate or unit price.

Front

If the constant of proportionality is 5, what does this mean in a real-world context?

Back

It means that for every unit of one quantity, the other quantity increases by 5 times. For example, if 1 item costs $5, then 2 items would cost $10.

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

Is the relationship between distance and time for a constant speed proportional?

Back

Yes, the relationship is proportional because as time increases, distance increases at a constant rate.

Front

What is the unit price?

Back

The unit price is the cost per single unit of a product, which helps in comparing prices of different quantities.

Front

If a table shows a constant ratio, is it proportional?

Back

Yes, if a table shows a constant ratio between two quantities, it indicates a proportional relationship.

Front

What does 'k' represent in the equation y = kx?

Back

In the equation y = kx, 'k' represents the constant of proportionality, which is the factor that relates x and y.

Front

How can you determine if a set of data is proportional?

Back

You can determine if a set of data is proportional by checking if the ratios of corresponding values are constant.