Rate of Change and Initial Value

Front

What is another name for the initial value?

Back

y-intercept

Front

What is the rate of change in Mr. Z's car club with a $30 join up fee and a $5 monthly fee?

Back

5

Front

Back

-5

Front

Back

Front

What is the initial value in the table where the first value is 6?

Back

6

Front

Define 'rate of change' in mathematical terms.

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the initial value when x=0.

Front

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

Back

The rate of change can be found by calculating the slope of the line, which is the rise over run.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Back

'b' represents the y-intercept, or the initial value of y when x=0.