constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change is a rate that does not change over time, indicating a linear relationship between two variables.

Front

What are the units for speed?

Back

Speed is typically measured in units of distance per time, such as miles per hour (mph) or kilometers per hour (km/h).

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 120 customers are served in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

What is the equation of a line with a slope of 1/4?

Back

The equation of a line with a slope of 1/4 can be written as y = 1/4x.

Front

If a car travels 50 miles in 1 hour, how far will it travel in 3 hours?

Back

In 3 hours, the car will travel 50 miles/hour * 3 hours = 150 miles.

Front

What does the slope of a line represent in a graph of distance vs. time?

Back

The slope of the line represents the speed or rate of change of distance with respect to time.

Front

If a store has 120 customers in 6 hours, what is the unit rate in customers per hour?

Back

The unit rate is 120 customers ÷ 6 hours = 20 customers per hour.

Front

Write the equation for a line that passes through the origin with a slope of 3.

Back

The equation is y = 3x.

Front

What is the formula to find the distance traveled at a constant speed?

Back

Distance = Speed × Time.

Front

If Ernie travels 195 miles in 3 hours, what is his speed?

Back

Speed = Distance ÷ Time = 195 miles ÷ 3 hours = 65 miles per hour.