constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where a quantity changes at a consistent rate over time, often represented by a linear function.

Front

What is the equation of a line with a constant rate of change?

Back

The equation of a line with a constant rate of change is typically in the form y = mx + b, where m is the slope (rate of change) and b is the y-intercept.

Front

If a car travels 60 miles in 1 hour, what is its constant rate of change?

Back

The constant rate of change is 60 miles per hour.

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 visit in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

What are the units for speed?

Back

The units for speed are typically expressed as distance per time, such as miles per hour (mph) or kilometers per hour (km/h).

Front

If a person runs 15 miles in 3 hours, what is their speed?

Back

Their speed is 5 miles per hour (15 miles ÷ 3 hours).

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph.

Front

If a store sells 240 items in 8 hours, what is the unit rate of items sold per hour?

Back

The unit rate is 30 items per hour (240 items ÷ 8 hours).

Front

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

Back

The formula is Distance = Speed × Time.

Front

If a cyclist travels at a constant speed of 12 miles per hour for 4 hours, how far do they travel?

Back

They travel 48 miles (12 miles/hour × 4 hours).