Proportional or Linear

Check all that accurately describe the following representation:

• Non-Function

• Function

• Linear Function

• Proportional Function

Answer explanation

Function: Every input has only one possible output (passes vertical line test)

Linear: Has a constant rate of change (straight line on the graph)

Proportional: Is linear; goes through the origin (0,0)

Check all that accurately describe the following representation:

• Non-Function

• Function

• Linear Function

• Proportional Function

Answer explanation

Function: Every input has only one possible output (passes vertical line test)

Linear: Has a constant rate of change (is a straight line on the graph)

NOT Proportional: Does not go through the origin (0,0)

Check all that accurately describe the following representation:

• Non-Function

• Function

• Linear Function

• Proportional Function

Answer explanation

Function: Every input has only one possible output

Linear: Has a constant rate of change (4)

NOT Proportional: Does not go through the origin (0,0)

Check all that accurately describe the following representation:

• Non-Function

• Function

• Linear Function

• Proportional Function

Answer explanation

Function: Every input has only one possible output

Linear: Has a constant rate of change (1)

Proportional: Is linear (constant of proportionality = 1); goes through origin (0,0)

A graph needs to go through _____ to be proportional.

• The origin

• The y-intercept

• The y-axis

• The x-axis

The cost of five pounds of grapefruit is $6.00. The cost per pound of grapefruit remains the same regardless of the quantity purchased. Graph the relationship between y, the total cost of grapefruit purchased, and x, the weight in pounds of the grapefruit purchased.Plot two points on the coordinate grid.

A graph needs to be a straight line and goes through _____ to be proportional.

• The origin

• The y-intercept

• The y-axis

• The x-axis

Graph a proportional relationship with a slope of two.

A proportional relationship goes through the (a)   . On a graph, this goes through the point ​ (b)   .

• origin

• y intercept

• (0,0)

• (0, y)

• (x,0)