7.4A Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.

Tags

CCSS.HSF-LE.A.1B

Front

How do you write an equation for a constant rate of change?

Back

An equation for a constant rate of change can be written in the form y = mx + b, where m represents the rate of change and b is the y-intercept.

Tags

CCSS.HSF-LE.A.1B

Front

What does the slope of a line represent in a graph of a linear relationship?

Back

The slope of a line represents the constant rate of change between the two variables plotted on the graph.

Tags

CCSS.8.EE.B.5

Front

If a person types 25 words per minute, how can this be expressed mathematically?

Back

This can be expressed as the equation y = 25x, where y is the total number of words and x is the time in minutes.

Tags

CCSS.6.EE.C.9

Front

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

Back

The y-intercept is the value of y when x is zero, indicating the starting point of the relationship on the graph.

Front

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

Back

To determine the constant rate of change from a table, calculate the difference in the y-values divided by the difference in the x-values for any two points.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a negative constant rate of change indicate?

Back

A negative constant rate of change indicates that as one quantity increases, the other quantity decreases.

Tags

CCSS.HSF-LE.A.1B

Front

In the equation y = 3x, what does the number 3 represent?

Back

In the equation y = 3x, the number 3 represents the constant rate of change, meaning for every 1 unit increase in x, y increases by 3 units.

Tags

CCSS.HSF.LE.B.5

Front

How can you interpret a graph with a constant rate of change?

Back

A graph with a constant rate of change will show a straight line, where the slope of the line indicates the rate of change.

Tags

CCSS.HSF.IF.B.4