Category 2

Which graph shows a proportional relationship between x and y?

• 
• 
• 
• 

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation?

• The height of the water increases 20 inches per second.

• The height of the water increases 1 inch per second.

• The height of the water increases 5 inches per second.

• The height of the water increases 2.5 inches per second.

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

• 25

• 10

• 50

• 75

What are the slope and the y-intercept of the graph of the linear function shown on the grid?

• Slope = 4, y-intercept = -6

• Slope = -4, y-intercept = -1.5

• Slope = -¼, y-intercept = -1.5

• Slope = ¼, y-intercept = -6

Which function is best represented by this graph?

• y=½x+6

• y=-2x+3

• y=2x+6

• y=-½x+3

Which situation represents a proportional relationship?

• The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket

• The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00

• The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost

• The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

Which set of ordered pairs represents y as a function of x?

• {(2, -1), (4, -2), (6, -3), (8, -4)}

• {(0, 0), (1, 1), (1, 0), (2, 1)}

• {(3, 3), 3, 4), (4, 3), (4, 4)}

• {(1, -5), (1, 5), (2, -10), (2, -15)}

A tree in Dante’s neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year?

• 
• 
• 
• 

Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drives. Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?

• c = 0.10m + 30

• c = 30m + 0.10

• c = 0.50m + 30

• c = 30m + 0.50

What is the y-intercept of the graph of the linear function?

• b=-4

• b=6

• b=-6

• b=4