Finding Unit Rate

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' something, such as miles per hour or dollars per item.

Front

How do you calculate the unit rate from a total amount and a total time?

Back

To calculate the unit rate, divide the total amount by the total time. For example, if you earn $30 in 2 hours, the unit rate is $30 ÷ 2 hours = $15 per hour.

Front

What is the equation format for calculating earnings based on hourly wage?

Back

The equation format is y = mx, where y is the total earnings, m is the hourly wage, and x is the number of hours worked.

Front

If a person runs 1,000 meters in 5 minutes, how do you find their speed in meters per minute?

Back

To find the speed in meters per minute, divide the total distance by the total time: 1,000 meters ÷ 5 minutes = 200 meters per minute.

Front

What is the formula to convert distance traveled over time into speed?

Back

The formula is Speed = Distance ÷ Time.

Front

How do you express the relationship between laps run and time in minutes?

Back

The relationship can be expressed as y = mx, where y is the number of laps, m is the number of laps per minute, and x is the time in minutes.

Front

What is the unit rate of 600 miles flown in 120 minutes?

Back

The unit rate is 600 miles ÷ 120 minutes = 5 miles per minute.

Front

How do you determine the speed of a vehicle given the distance and time?

Back

To determine the speed, use the formula Speed = Distance ÷ Time. For example, if a vehicle travels 1,080 miles in 20 hours, the speed is 1,080 ÷ 20 = 54 miles per hour.

Front

What does the variable 'x' typically represent in equations related to rates?

Back

In equations related to rates, 'x' typically represents the time or quantity of interest, such as hours worked or minutes spent.

Front

What is the significance of the slope in the equation y = mx?

Back

In the equation y = mx, the slope 'm' represents the unit rate, indicating how much y changes for each unit increase in x.