Proportional Relationship

Does this table show a proportional relationship between x and y?

• Yes
• No

Your friend wants to know if there is a proportional relationship between the number of slices of ham in a sandwich and the number of calories.  Decide if the relationship between the number of slices of ham in a sandwich and the number of calories is proportional.

• Yes
• No

Which of these graphs shows a relationship that is not proportional?

• A
• B
• C
• None

Does the equation y = 7x + 3 show a proportional relationship between x and y?  Explain.

• No, the graph of the equation is not a straight line.
• Yes, the graph of the equation is a straight line and passes through the origin.
• No, the graph of the equation does not pass through the origin.
• Yes, the graph of the equation is a straight line.

The graph shows a proportional relationship between time and number of boxes a machine packages.  How many boxes does the machine package in 3 minutes?

• 25
• 50
• 75
• 100

Suppose you want to buy bouquets of flowers for a party.  An equation that represents the cost, y, in dollars, for x bouquets is y = 16x.  Decide if this equation represents a proportional relationship.  Explain.

• No, the graph of the equation does not pass through the origin
• Yes, the graph of the equation is a straight line passing through the origin
• No, the graph of the equation is not a straight line

The variable y is in a proportional relationship with x.  The number of # represents an x value.  The number of @ represents the corresponding y value.  Identify the constant of proportionality.
@@@@@@@@@@##

• 10/2
• 1/2
• 5
• 0.5

Since a middle school opened, the girls' basketball team has had the same record every season.  The team has won a total of 210 games while losing on 15 games.  Find the constant of proportionality of wins to losses.

• 15
• 13
• 16
• 14

The distance a jet aircraft flies has a proportional relationship with its number of hours in flight.   The table shows the number of miles flown for a number of hours in a flight.  Find the constant of proportionality.  How long will the jet take to travel 4,620 miles?

• 420; 12
• 420;13
• 420; 11
• 420;10

What does the point (1, 52) represent?

• 52 miles in 52 hours
• 52 miles in 1 hour
• 1 mile in 52 hours
• 1 mile in 1 hour