4-2 (draft)

Select all of the linear relationships that are also proportional relationships.

Martin saves $25 the first week, $35 the second week, $45 the third week, $55 the fourth week, and so on. There is a linear relationship between the amount saved each week and the number of weeks. Select a true statement about the relationship.

• The relationship is proportional because there is a constant rate of change.

• The relationship is not proportional because it cannot be written in the form y = mx.

• The relationship is not proportional because there is not a constant rate of change.

• The relationship is proportional because it can be written in the form y = mx.

Does the linear equation y = x - 5 represent a proportional relationship?

• proportional

• not proportional

The graph shows the cost of renting a jet ski at Lakeside Marina. Is the linear relationship proportional?

• The relationship is proportional because there is a constant rate of change.

• The relationship is not proportional because there is not a constant rate of change.

• The relationship is proportional because the graph does not pass through the origin.

• The relationship is not proportional because the graph does not pass through the origin.

The table shows the cost of apples picked at an apple orchard. Is the relationship proportional?

• proportional

• not proportional

Does the line shown in the graph represent a proportional relationship? Select the correct choices to complete a true statement.

• The relationship is proportional because the graph is a straight line that passes through the origin.

• The relationship is not proportional because the graph is a straight line that passes through the origin.

• The relationship is proportional because the graph is a straight line that does not pass through the origin.

• The relationship is not proportional because the graph is a straight line that does not pass through the origin.

A company rents bounce houses for birthday parties and lists the following prices: two hours for $85, three hours for $110, four hours for $135, five hours for $160. There is a linear relationship between the total cost and the number of hours. Is the relationship proportional?

• proportional

• not proportional