Rate of change (Tables)

Front

What is the formula for a linear equation representing savings over time?

Back

y = mx + b, where m is the rate of change and b is the initial amount.

Front

If Bob saves $40 per month, what is the rate of change in his savings account?

Back

The rate of change is $40 per month.

Front

How do you determine the rate of change from a table of values?

Back

The rate of change is calculated by finding the difference in y-values divided by the difference in x-values.

Front

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

Back

The slope represents the rate of change, indicating how much one variable changes in relation to another.

Front

In the equation y = 40x + 150, what does the 150 represent?

Back

The 150 represents the initial amount in the savings account.

Front

What is the rate of change in the equation y = x + 4?

Back

The rate of change is 1.

Front

If a table shows a constant increase of 4 in y for every increase of 1 in x, what is the rate of change?

Back

The rate of change is 4.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the value of y when x is 0, representing the starting point of the relationship.

Front

How can you identify the rate of change from a graph?

Back

The rate of change can be identified by calculating the slope of the line on the graph.

Front

What does a rate of change of 2 indicate in a real-world scenario?

Back

It indicates that for every unit increase in x, y increases by 2 units.