Comparing Proportional Relationships in Different Forms

Find the unit rate of $97.50 for 15 pizzas.

• $6 per pizza

• $82.50 per pizza

• $5.50 per pizza

• $6.50 per pizza

Who can type more words per minute?

• Braden

• Omar

• They both have the same rate of change

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

Who uses fewer gallons of gas per mile?

• Troy

• Lucy

• They use the same amount of gas per mile

Which company has the cheaper price per pound?

• There is not enough information to determine the price per pound.

• Carmine's Candy

• Both candy stores have the same price per pound.

• Sam's Candy Shoppe

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 $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 constant of proportionality 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.

Mr. Berry recorded the amount of water he used per minute in the graph. Mrs. Hendren wrote the equation y = 4.5x to represent her water use. Mrs. Lewis used 66 gallons in 12 minutes. Which statement is true?

• Mrs. Lewis used 0.5 gallons per minute more water than Mr. Berry.

• Mr. Berry used 0.5 gallons per minute more water than Mrs. Lewis.

• Mrs. Hendren used 0.5 gallons per minute more water than Mrs. Lewis.

• Mrs. Lewis used 0.5 gallons per minute more water than Mrs. Hendren.

The graph shows the proportional relationship between the number of days, x, Restaurant T is open and how many people they served, y. The equation y = 82x represents the relationship for Restaurant S. Which restaurant served more people?

• Restaurant S

• Restaurant T

• They both served the same amount of people

The equation y = 11.5x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

• Store A

• Store B

• They both have the same price