Front

What does the rate of change represent in a linear function?

Back

The rate of change represents how much the dependent variable (y) changes for a unit change in the independent variable (x). It indicates the slope of the line.

Tags

CCSS.HSF-LE.A.1B

Front

In the function y = 55x + 9500, what does the number 55 represent?

Back

The number 55 represents the rate of change, indicating that the car travels 55 miles for every hour driven.

Tags

CCSS.HSF.LE.B.5

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the function.

Tags

CCSS.HSF.LE.B.5

Front

In the function y = 1500 - 35x, what does the -35 represent?

Back

The -35 represents the rate of change, indicating that the amount owed decreases by $35 each month.

Tags

CCSS.HSF.LE.B.5

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if the slope is positive (the line goes up as you move from left to right) and decreasing if the slope is negative (the line goes down as you move from left to right).

Front

What is the meaning of the term 'slope' in a linear function?

Back

The slope is a measure of the steepness of the line, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when the output value (y) decreases as the input value (x) increases.

Front

If a function has a positive slope, what can you say about its behavior?

Back

If a function has a positive slope, it is increasing, meaning that as x increases, y also increases.

Tags

CCSS.HSF-LE.A.1B

Front

What is the initial value in the function y = 55x + 9500?

Back

The initial value is 9500, which is the odometer reading before any hours have been driven.

Tags

CCSS.HSF.LE.B.5