7.4A Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change means that the quantity changes by the same amount over equal intervals. It is often represented by a linear function.

Front

How do you identify a positive rate of change on a graph?

Back

A positive rate of change is identified when the graph slopes upwards from left to right.

Front

How do you identify a negative rate of change on a graph?

Back

A negative rate of change is identified when the graph slopes downwards from left to right.

Front

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

Back

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

Front

If y = 3x, what is the rate of change?

Back

The rate of change is 3, meaning for every 1 unit increase in x, y increases by 3 units.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two quantities, such as speed, cost per item, or growth rate.

Front

If Felicia's cell phone plan costs $36 per month, what is the total cost after 4 months?

Back

The total cost is $144, calculated as 36 * 4.

Front

What is the formula to calculate total cost based on unit price and quantity?

Back

Total Cost = Unit Price × Quantity.

Front

If Muenster cheese costs $4.50 per pound, how much does 3 pounds cost?

Back

The cost for 3 pounds is $13.50, calculated as 4.50 * 3.

Front

What does a table of values represent in relation to a linear function?

Back

A table of values shows pairs of x and y values that satisfy the linear equation, illustrating the relationship between the two variables.