Assignment 7.4A Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent amount of change in a quantity over a specific period of time, often represented as a slope in a graph.

Front

How do you calculate the rate of change?

Back

Rate of change is calculated by dividing the change in the dependent variable by the change in the independent variable (slope = rise/run).

Front

If a person earns $100 for each hour worked, what is the rate of change?

Back

The rate of change is $100 per hour.

Front

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

Back

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

Front

How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units (e.g., total customers by total hours).

Front

If JoAnne has $150 after 3 months and $300 after 6 months, what is the constant rate of change?

Back

The constant rate of change is $50 per month.

Front

What is the unit rate of 120 customers in 8 hours?

Back

The unit rate is 15 customers per hour.

Front

What does it mean if a graph has a steeper slope?

Back

A steeper slope indicates a greater rate of change, meaning the dependent variable changes more rapidly with respect to the independent variable.

Front

What is the formula for calculating the slope of a line?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

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 the dependent variable when the independent variable is zero.