Rate of Change and Initial Value

Front

What is the rate of change in the function y=4x-5?

Back

4

Front

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

Back

The rate of change is calculated by finding the slope of the line, which is the change in y divided by the change in x.

Front

If Sarah starts with $100 and saves $20 each week, what is her rate of change?

Back

20

Front

What is the rate of change in the function y=7-14x?

Back

-14

Front

What is another name for the initial value in a linear function?

Back

y-intercept

Front

Define 'rate of change' in the context of a linear function.

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope.

Front

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

Back

A positive rate of change indicates that as the independent variable increases, the dependent variable also increases.

Front

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

Back

A negative rate of change indicates that as the independent variable increases, the dependent variable decreases.

Front

How can you identify the initial value from a linear equation in slope-intercept form?

Back

The initial value is the y-intercept, which is the value of y when x=0.

Front

What is the slope of the line represented by the equation y=mx+b?

Back

The slope is represented by 'm' in the equation.