Rate of Change from Tables

Front

What is the y-intercept?

Back

The y-intercept is the value of y when x is 0 in a linear equation. It represents the point where the line crosses the y-axis.

Front

How do you calculate the rate of change?

Back

The rate of change is calculated by taking the difference in the y-values divided by the difference in the x-values (Δy/Δx).

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a positive rate of change indicate?

Back

A positive rate of change indicates that as the x-value increases, the y-value also increases.

Tags

CCSS.HSF-LE.A.1B

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as the x-value increases, the y-value decreases.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for rate of change?

Back

Rate of Change = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If the rate of change is 6, what does it mean in context?

Back

It means that for every unit increase in x, y increases by 6 units.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of the slope in a linear graph?

Back

The slope represents the rate of change between the two variables represented in the graph.

Tags

CCSS.8.EE.B.5

Front

How can you identify the rate of change from a table of values?

Back

You can identify the rate of change by calculating the difference in y-values and the difference in x-values between two points.

Tags

CCSS.HSF-LE.A.1B

Front

What is the rate of change if y increases from 2 to 10 as x increases from 1 to 5?

Back

Rate of Change = (10 - 2) / (5 - 1) = 8 / 4 = 2.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a rate of change of 1/2 dollar per ticket mean?

Back

It means that for each additional ticket sold, the revenue increases by 50 cents.

Tags

CCSS.HSF-LE.A.1B