Chapter 3 Proportional Relationship Desmos

Philip wants to replace his existing fence. He received a quote from a general contractor based on the graph below. The graph shows the cost of a new cedar fence based on the number of feet. What is the unit rate of the graph?

• $1 per foot
• $20 per foot
• $10 per foot
• $5 per foot

Tell whether or not the graph shows a proportional relationship.  If it is proportional, tell the constant of proportionality.

• proportional  -2
• proportional  2
• proportional  ¹/2
• not proportional

Tell whether or not the graph shows a proportional relationship. If it is proportional, tell the slope.

• proportional 3

• proportional -3

• proportional ^-1/₃

• not proportional

Compare the rates of change of the equation and the table. 

• The rate of change of the table is less than the rate of change of the equation.
• There is not enough information to determine the rate of change of the equation and the table.
• The rate of change of the equation is less than the rate of change of the table.
• The rate of change of the table is equal to the rate of change of the equation.

Amber recorded the prices of candy, based on weight, from two different stores in the table and graph. Which company has the cheaper price per pound? 

• There is not enough information to determine the price per pound.
• Carmine's Candy has the cheaper price per pound.
• Both candy stores have the same price per pound.
• Sam's Candy Shoppe has the cheaper price per pound.

Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.
Carla pays $6.66 for 3 magazines, and she pays $17.76 for 8 magazines.
The equation below represents the amount of money Brandon pays for x magazines.
y = $2.88x
Who pays more per magazine?

• Brandon pays more per magazine.
• There is not enough information to determine the price per magazine.
• Brandon and Carla pay the same price per magazine.
• Carla pays more per magazine.

Compare the rates of change of the following table and graph.

• The rate of change of the table is equal to the rate of change of the graph.
• The rate of change of the graph is greater than the rate of change of the table.
• There is not enough information to determine the rates of change.
• The rate of change of the table is greater than the rate of change of the graph.

Compare the slope of the following equation and graph by determining which line is steeper.

• The line represented by the equation has the same steepness as the line shown in the graph.
• There is not enough information to determine the steepness of the lines.
• The line represented by the equation is steeper than the line shown in the graph.
• The line shown in the graph is steeper than the line represented by the equation.

After the end of a baseball game, there were 1,000 cars in the parking lot. The graph represents the number of cars remaining in the parking lot after x minutes. What does the slope represent in the graph?

• cars per minute
• minutes per car
• hours per car
• cars per hour

Store A and store B are each running specials in their stores.
The equation below represents the amount of a discount for an item that costs x dollars at store A.
y = 0.2x
The graph represents the amount of a discount for an item that costs x dollars at store B. Which store is offering the greater discount?

• Store A is offering the greater discount.
• Store A and store B are offering the same discount.
• Store B is offering the greater discount.
• There is not enough information to determine the amount of the discount.