Relationship Between Two Variables

Stan reads 3 books each month. Which ordered pair is a point on the graph that shows the relationship between the total number of books y Stan reads in x months?

• (9,3)

• (5, 15)

• (4, 7)

• (3, 1)

Nathaniel earns $12 per hour at his summer job. The linear equation y = 12x represents his earnings y for x hours of work. Which ordered pair lies on the graph of the equation?

• (0, 12)

• (4, 16)

• (8, 96)

• (12, 1)

The table represents the relationship between the number of gallons of gas in a gas tank and the number of miles that can be driven. Which quantity represents the dependent quantity in this table?

• Miles driven

• Miles per gallon

• Gallons of gas

Graph 1 and Graph 2 represent relationships that have different rules. Based on the information in Graph 1 and Graph 2, which statement is true?

• Graph 1 represents a multiplicative relationship because the graph includes the ordered pair (0, 0).

• Graph 1 represents an additive relationship because the graph does not include the ordered pair (0, 0).

• Graph 2 represents a multiplicative relationship because the graph includes the ordered pair (0, 0).

The graph shows the number of words per minute that Paola types. Which statement about the relationship represented in the graph is true?

• The number of minutes is the dependent quantity.

• The number of words is the dependent quantity.

• The number of words is the independent quantity.

Which equation best represents the relationship between x and y?

• y = 3x

• y = x + 3

• y = x + 2

Nick made a chart showing the number of minutes it took him to run laps around a track. Which equation could be used to describe the relationship between the number of minutes (M) and the number of laps (L) Nick runs?

• L = 2M

• L = M - 4

• L = M / 2

The cost of downloading one song from a website is $0.99.
Which equation can be used to find t, the cost in dollars of downloading n songs?

• t = 0.99n

• t = n + 0.99

• n = 0.99t

Which table shows only values that represent the following relationship between q and r?

r = q + 10.1

• Table A

• Table B

• Table C

The graph shows the relationship between the side length of a regular hexagon and its perimeter. Which table best represents the relationship between the side length of a regular hexagon, x, and its perimeter, y?

• Table A

• Table B

• Table C