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 calculate the unit rate from a given distance and time?

Back

To calculate the unit rate, divide the total distance by the total time. For example, if Tim ran 10 miles in 2 hours, the unit rate is 10 miles ÷ 2 hours = 5 miles per hour.

Front

What is the constant of proportionality?

Back

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

Front

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

Back

A table represents a proportional relationship if the ratio of the two quantities is constant for all pairs of values.

Front

If a table shows the values (1, 3), (2, 6), (3, 9), what is the constant of proportionality?

Back

The constant of proportionality is 3, as each value in the second column is 3 times the value in the first column.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant; it changes as the values increase or decrease.

Front

Solve the proportion: 4/8 = x/16. What is x?

Back

x = 8.

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality in the equation.

Front

If y = 14x, what is the unit rate?

Back

The unit rate is 14, meaning for every 1 unit of x, y increases by 14.

Front

What is the relationship between unit rate and slope in a graph?

Back

The unit rate corresponds to the slope of the line in a graph, indicating how much y changes for a change in x.