Unit Rates in Tables

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per unit'. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate from a table?

Back

To calculate a unit rate from a table, divide the total quantity of one variable by the total quantity of the other variable to find the rate per unit.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the unit rate that describes the relationship between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you represent a proportional relationship with an equation?

Back

A proportional relationship can be represented with the equation y = kx, where k is the constant of proportionality.

Front

If a person can paint 3 houses with one can of paint, what is the unit rate of houses painted per can?

Back

The unit rate is 3 houses per can of paint.

Front

What is the significance of the unit rate in real-life applications?

Back

The unit rate helps in making comparisons and understanding the efficiency of different quantities, such as speed, cost, or productivity.

Front

How do you find the unit rate when given a total cost and total quantity?

Back

To find the unit rate, divide the total cost by the total quantity. For example, if 9 dollars buys 1 item, the unit rate is $9 per item.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where one quantity is compared to one unit of another quantity.

Front

If a car travels 315 miles in 7 hours, what is the unit rate of speed?

Back

The unit rate of speed is 45 miles per hour, calculated by dividing 315 miles by 7 hours.

Front

How can you use a graph to identify unit rates?

Back

In a graph, the slope of the line represents the unit rate. The steeper the slope, the higher the unit rate.