Compare Linear Functions

Compare the two linear functions listed below and determine which has a greater slope.

• Function 1 because the slope is 3/2

• Function 2 because the slope is 1

• Function 1 because the slope is 2/3

• They are equal 

Compare the two linear functions listed below and determine which has a greater slope.

• Function 1 because the slope is 12

• Function 2 because the slope is 1

• Function 1 because the slope is 1/12

• They are equal 

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Is the function linear or nonlinear?

• Linear Function

• Nonlinear Function

• A

• B

• C

• D

Two arcades charge an entrance fee and a fee per game. At Arcade A, the total cost y (in dollars) of playing x games is represented by the linear function y = 0.5x + 6 . The table shows the total cost for playing x games at Arcade B. Determine which arcade is described by each phrase below.

Groups:

(a) Arcade A

,

(b) Arcade B

• higher fee per game

• higher cost for 12 games

• higher entrance fee

• The functions have the same y-intercept

• The functions have a positive slope

• The functions have the same slope

• The functions are both linear

• The functions have the same y-intercept

• The functions have a positive slope

• The functions have the same slope

• The functions are both linear

Compare the function \(y = 3x-2\) to the function represented in the graph. Select all that are true.

• The functions have the same y-intercept

• The functions have a positive slope

• The functions have the same slope

• The functions are both linear

Compare the function to the function represented in the graph. Select all that are true.

• The functions have the same y-intercept

• The functions have a positive slope

• The functions have the same slope

• The functions are both linear