A person runs laps around a track

A person runs laps around a track. The relationship between the number of laps, x, and the total distance run in miles, y, can be represented by the equation y = 0.25x. Complete the table to represent this relationship. Move the correct answer to each box in the table. Not all answers will be used.

• 3.5

• 1.75

• 6.75

• 1.25

• 4.25

Answer explanation

The correct answers are 1.75 and 4.25 because when x=7, y=0.25*7=1.75 and when x=17, y=0.25*17=4.25, following the equation y=0.25x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The relationship between the number of hours the employee works, x, and the number of toys the employee builds, y, is represented by the equation y = 9x. Which graph represents this relationship?

• Graph F

• Graph G

• Graph H

• Graph I

Answer explanation

The correct graph representing the relationship y = 9x is Graph H because it shows a linear relationship where y increases by a factor of 9 for every unit increase in x.

Tags

CCSS.8.EE.B.5

Which graph includes only points that follow the rule y = x + 3?

• Graph A

• Graph B

• Graph C

• Graph D

Answer explanation

Graph B is the correct choice as it represents points that follow the rule y = x + 3, where the y-coordinate is always 3 units greater than the x-coordinate.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The points plotted on the coordinate grid represent the rule y = x + 5. Which table also represents this rule?

• Table A: x = 9, y = 4; x = 11, y = 6; x = 14, y = 9; x = 20, y = 15

• Table B: x = 4, y = 9; x = 5, y = 10; x = 6, y = 11; x = 7, y = 12

• Table C: x = 5, y = 10; x = 6, y = 15; x = 7, y = 20; x = 8, y = 25

• Table D: x = 4, y = 20; x = 5, y = 25; x = 6, y = 30; x = 7, y = 35

Answer explanation

Table B matches the rule y = x + 5 as the y-values are 5 more than the x-values in each pair, confirming the rule.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which table contains only x-values and y-values that make the equation y = 4.8x true?

• Table F

• Table H

• Table G

• Table J

Answer explanation

Table F contains only x-values and y-values that make the equation y = 4.8x true, as the correct answer.

The relationship between x, the number of boxes he will order, and y, the number of dog beds he will receive, can be represented by the equation y = 12x. Which table contains only values that represent the equation?

• Table A

• Table B

• Table C

• Table D

Answer explanation

Table A is the correct choice as it contains values that follow the equation y = 12x, where y is the number of dog beds and x is the number of boxes ordered.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which table of values does NOT represent y = x + 4.5?

• Table F

• Table H

• Table G

• Table J

Answer explanation

Table G does not represent y = x + 4.5 because the values in Table G do not follow the equation y = x + 4.5.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The graph shown represents the rule y = x + 1.5. Which table contains only values that represent the rule?

• Table A: x values (0, 1, 2, 3, 9) corresponding to y values (0, 1.5, 3, 4.5, 6)

• Table B: x values (0, 1, 2, 3, 9) corresponding to y values (0, 1.5, 3, 4.5, 13.5)

• Table C: x values (0, 1, 2, 3, 9) corresponding to y values (0, 1.5, 3, 4.5, 6, 7.5)

• Table D: x values (0, 1, 2, 3, 9) corresponding to y values (0, 1.5, 2.5, 3.5, 4.5, 10.5)

Answer explanation

Table D is the correct choice as it contains x values (0, 1, 2, 3, 9) corresponding to y values (0, 1.5, 2.5, 3.5, 4.5, 10.5) which align with the rule y = x + 1.5.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The equation y = 1.5x can be used to determine y, the number of cups of water needed to cook x cups of rice. Which table shows the relationship between x and y?

• Table A

• Table B

• Table C

• Table D

Answer explanation

The equation y = 1.5x indicates a linear relationship with a slope of 1.5. Table A correctly shows this relationship between x and y.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The relationship between numbers in List X and List Y follows the rule y = x + 2.05. Which diagram shows this relationship?

• Diagram A

• Diagram B

• Diagram C

• Diagram D

Answer explanation

Diagram C shows the relationship between numbers in List X and List Y where y = x + 2.05, as indicated in the question. Therefore, Diagram C is the correct choice.

Tags

CCSS.5.OA.B.3