Slope-Constant Proportion

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none (not proportional)

What is the constant of proportionality of the graph above?

• 0

• 1/6

• 60

• 10

What is the constant of proportionality of the graph above?

• 16

• 1/16

• 1

• None of the above

Which has a greater constant of proportionality according to the graph above?

• Avenger

• Serendipity

• Both have the same

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

The graph shows the water level as a bathtub fills.  Select the correct choice that describes this graph.

• The graph is proportional because the y to x ratio is constant (the same).

• The graph is non-proportional because it does not pass through the origin (0,0).

• The graph is proportional because it is linear (a straight line).

• The graph is non-proportional because it is linear (a straight line).

 Is this table proportional or non-proportional?

• Proportional

• Non-Proportional

• 4

• C.O.P.

Do the ratios form a proportion?

• Yes, they form a proportion.

• No, they do not form a proportion.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

• no, there is no constant of variation

• yes, the constant of variation is 100

• yes the constant of variation is 50

Determine if there is a constant of variation. If so, explain what it represents. The equation y = 9.50 x represents the number of dollars y Marty paid for x movie tickets.

• The constant of variation is 9.50. This means that Marty paid $9.50 for each movie ticket

• There is no constant of variation. There is not a direct variation between the number of tickets and the total cost.