Rate of Change and Initial Value

Front

Back

The initial value is -5.

Front

What does the rate of change represent in a linear function?

Back

The rate of change represents the slope of the line, indicating how much the dependent variable changes for a unit change in the independent variable.

Front

In the context of a phone payment plan, what is the initial value if Tim paid $125 on the day of purchase?

Back

The initial value is $125.

Front

How do you calculate the rate of change from a graph?

Back

The rate of change is calculated by finding the slope, which is the change in y divided by the change in x (rise/run).

Front

What is the initial value in the table if the first entry is 6?

Back

The initial value is 6.

Front

What is the formula for the slope (rate of change) between two points (x1, y1) and (x2, y2)?

Back

Front

If a function has a constant rate of change, what type of function is it?

Back

It is a linear function.

Front

What does a negative rate of change indicate about a function?

Back

A negative rate of change indicates that the function is decreasing.

Front

Back

'b' represents the initial value or y-intercept of the function.

Front

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

Back

The rate of change is 60 miles per hour.