Desmos Proportional Relationships

The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.

• c = .29p

• c = 3.5p

• p = .29c

• p = 3.5c

The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?

• The graph is proportional  because it is linear.

• The graph is proportional because it is linear and passes through the origin.

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

• The graph is not proportional because it is not linear and it does not pass through the origin.

What is the constant of proportionality based on the table above?

• 1/75

• 75

• 1

• 0

Jacob mixed 8 cups of flour with 2 cups of water to make pizza dough.  To represent the relationship between the number of cups of flour, f, and the number of cups of water, w, needed to make the same pizza dough, Jake wrote the equation
f = ____ w
What should be placed in the blank?

• 1/4

• 8

• 2

• 4

Sherry can buy 4 pounds of oranges for $18.  Write the equation to represent the cost, y, for x oranges.

• y = 4.5x

• y = 72x

• y = 2/9 x

• y = 4x

The time in hours, h, it takes to hike in miles, m, is displayed in the graph above.  What is the constant of proportionality? 

• 1

• 2

• 5/6

• 6/5

Determine if the table above is proportional and how do you know?

• The table is proportional because the unit rate is a constant 0.33.

• The table is proportional because it passes through the origin.

• The table is proportional because the unit rate is a constant 0.28

• The table is not proportional because the unit rate is not constant.

Determine the unit rate from the table above given the distance in leagues, x, and the distance in miles, y.

• k = 1/3

• k = 3

• k = 6

• k = 1

The table shows the weight in pounds of objects on earth compared to objects on the moon.  If an object on earth weighs 42 lbs, what is its weight on the moon?

• 7 lbs

• 12 lbs

• 84 lbs

• 252 lbs

The time in minutes it takes a sloth to move a certain distance in feet is shown in the graph above.  How far can a sloth move in 5 minutes?

• 1 foot

• 10 feet

• 20 feet

• 30 feet