Assignment 7.4A Constant Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as a slope in a graph.

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 a store sees 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

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

Back

A constant rate of change is represented by a straight line on a graph, indicating that the quantity changes at a consistent rate.

Front

What is the formula for calculating the rate of change?

Back

The formula for calculating the rate of change is (change in y) / (change in x).

Front

If a graph shows a line with a slope of 40, what does this mean?

Back

A slope of 40 means that for every unit increase in x, y increases by 40 units.

Front

What is the significance of the y-intercept in a linear graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

Which graph represents a situation with a higher rate of change: a steep line or a flat line?

Back

A steep line represents a higher rate of change compared to a flat line.

Front

What does it mean if a graph is horizontal?

Back

A horizontal graph indicates that there is no change in y as x changes, meaning the rate of change is 0.

Front

How can you determine which graph best represents a situation?

Back

To determine which graph best represents a situation, analyze the data and look for the graph that shows the correct relationship between the variables.

Front

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

Back

An example of a constant rate of change is earning a fixed amount of money for each hour worked, such as $10 per hour.