Comparing Linear Functions

Front

What is a linear function?

Back

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

Front

What does the slope of a linear function represent?

Back

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

Front

How do you identify the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, the slope is the coefficient m of x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0. It is represented by b in the slope-intercept form y = mx + b.

Front

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

Back

The rate of change can be calculated by taking the difference in the y-values divided by the difference in the x-values between two points.

Front

What is the equation for Randy's new rental charge after increasing the rate of change?

Back

y = 425x + 600.

Front

If Nate's service is described by y = 4x + 6, what is the cost per movie?

Back

The cost per movie is $4.

Front

How do you compare the rates of change between two linear functions?

Back

You compare the slopes of the two functions. The function with the greater slope has a higher rate of change.

Front

What is the rate of change for Water's Edge Rafts?

Back

$6 per hour.

Front

What is the rate of change for Ryan's Rafts?

Back

$2.25 per hour.