Linear Function Applications

Front

Define a linear function.

Back

A linear function is a function that creates a straight line when graphed. It 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 is the slope in a linear function?

Back

The slope (m) in a linear function represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

In the equation y = 2x + 3, what is the slope?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

In the equation y = 2x + 3, what is the y-intercept?

Back

The y-intercept is 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input or cause in a function. It is usually denoted as x.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output or effect in a function. It is usually denoted as y.

Tags

CCSS.6.EE.C.9

Front

How do you identify the dependent and independent variables in a real-world scenario?

Back

The independent variable is the one that you can control or change, while the dependent variable is what you measure or observe as a result.

Front

What is the equation for a linear function that describes a cost of $5 per item with a fixed fee of $10?

Back

y = 5x + 10.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a function is represented as y = 4x - 2, what happens to y when x increases by 1?

Back

When x increases by 1, y increases by 4.

Tags

CCSS.HSF-LE.A.1B