Assignment 7.4A Constant Rate of Change

Front

What is the definition of constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the total time or number of units. For example, if a store sees 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What does a graph representing a constant rate of change look like?

Back

A graph representing a constant rate of change is a straight line, indicating that the relationship between the two variables is linear.

Front

What is the formula for rate of change?

Back

The formula for rate of change is (change in y) / (change in x), often represented as (y2 - y1) / (x2 - x1).

Front

If a store sees 240 customers in 12 hours, what is the unit rate?

Back

20 customers per hour (240 ÷ 12 = 20).

Front

Which graph best represents a constant rate of change?

Back

A straight line graph.

Front

What is an example of a situation with a constant rate of change?

Back

A car traveling at a steady speed of 60 miles per hour.

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it indicates that the rate of change is not constant; the relationship between the variables is changing.

Front

How can you identify the rate of change from a graph?

Back

The rate of change can be identified by calculating the slope of the line on the graph.

Front

What is the significance of the slope in a linear graph?

Back

The slope represents the rate of change between the two variables; a steeper slope indicates a greater rate of change.