EOG Review: Proportional Relationships

DJ determines that 6 gallons of water flows from a faucet in 4 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x minutes?

• A. y = x + 3/2

• B. y = 3/2 x

• C. y = 2/3 x

• D. y = x + 2/3

Tags

CCSS.6.EE.C.9

The table shows the cost of apples. What is the cost per pound of apples?

• $0.35

• $2.80

• $1.74

• $3.20

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Caroline and Crystal have afterschool tutoring jobs. Caroline determines the total amount of money she earns, y, for x hours of tutoring using the equation y = 17x. The amount of money Crystal earns is listed in the table. If Caroline and Crystal both tutor for 10 hours this week, who makes more money and by how much?

• A. Caroline by $15

• B. Crystal by $15

• C. Caroline by $1.50

• D. Crystal by $1.50

The equation y = 4.25x models the cost, in dollars, to purchase x gallons of gas at Gas Station 1. The table below shows the cost to buy different amounts of gallons of gas at Gas Station 2. Which statement is true?

• The cost of gas at gas station 2 is $0.11 less per gallon than at gas station 1.

• The cost of gas at gas station 2 is $0.11 more per gallon than at gas station 1.

• The cost of gas at gas station 2 is $0.21 less per gallon than at gas station 1.

• The cost of gas at gas station 2 is $0.21 more per gallon than at gas station 1.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The graph shows the rate at which the tortoise and the hare are racing. If they continue racing at the same rate, how far apart will they be after 300 minutes?

• 14.25 miles

• 2.5 miles

• 6 miles

• 18.75 miles

Tags

CCSS.7.EE.B.3

The graph represents the costs of t-shirts at a screen-printing company. Which explanation of the meaning of the point (6, 42) on the graph is correct?

• 6 indicates the number of T-shirts purchased; 42 indicates the total cost.

• 6 indicates the total cost; 42 indicates the number of T-shirts purchased.

• 6 indicates the shirts cost $42 each.

• There is not enough information given to interpret the meaning.

Tags

CCSS.7.RP.A.2B

Phillip buys blueberries at the farmer's market. He pays $9.75 for 7.8 pounds of blueberries. Which equation could Phillip use to determine the cost c of p pounds of blueberries?

• A. p = 1.25c

• B. p / 1.25 = c

• C. p / c = 1.25

• D. c = 1.25p

Tags

CCSS.6.RP.A.3B

The graph shows the relationship between gallons of milk a customer buys and the total cost. Jackson buys 8 gallons of milk. Based on the graph, what is the total cost?

• $4.50

• $16.00

• $24.00

• $36.00

Tags

CCSS.7.RP.A.2D

Rachel walks around her neighborhood every evening. She walks 7/8 mile in 1/4 hour. What is her rate in miles per hour?

(a)  

Tags

CCSS.7.RP.A.1

A car has traveled 50 miles in 20 minutes. Which of the following represents an equivalent ratio?

• A. 70 miles in 50 minutes

• B. 90 miles in 60 minutes

• C. 110 miles in 44 minutes

• D. 18 miles in 4 minutes

Tags

CCSS.6.RP.A.3A