Independent and Dependent Quantities

Which label best describes the independent quantities shown in the table?

• Number of Tickets (t)

• Cost (c)

• A

• B

• C

• D

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x. Which equation best represents the relationship between x and y?

• y = x + 25

• x = y + 25

• x = 25y

• y = 25x

Which statement describes the relationship between x and y in these two equations?

• In y=2x the value of y is 2 more than the value of x, and in y=x+2 the value of y is twice the value of x.

• In y=2x and in y=x+2, the value of y is two more than the value of x.

• In y=2x and in y=x+2, the value of y is twice the value of x.

• in y=2x the value of y is twice the value of x, and in y=x+2 the value of y is 2 more than the value of x.

Shaundra made this table in order to show the results of a science experiment. Which statement about the quantities in Shaundra's experiment is true?

• The amount of fertilizer added and the change in the height of the plants are both independent quantities.

• The amount of fertilizer added and the change in the height of the plants are both dependent quantities.

• The amount of fertilizer added is a dependent quantity, and the change in the height of the plant is an independent quantity.

• The amount of fertilizer added is an independent quantity, and the change in the height of the plant is a dependent quantity.

The table shows the relationship between d, the amount of money Alice has at the beginning of each day, and w, the amount of money she has after riding the bus to work. Which equation represents the relationship in the table?

• w = d + 1.25

• w = 14.50d + 1.25

• w = 15.75d - 1.25

• w = d - 1.25

Mr. Martinez asked his students to write a situation that could describe the relationship between all the values of x and y in the table. Which situation best describes the relationship between all the values of x and y in the table?

• Marion has six times the number of toy trains that Tony has.

• James read zero books in six months and then started to read one book each week.

• Beatriz ran one mile the fist week and one mile each week after that.

• Rachel had six dollars and the started to save one dollar each week.

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 = 0.99 + n

• n = 0.99 + t

• n = 0.99t

• t = 0.99n

The graph shows a relationship between x-values and y-values.

Identify the independent values of the graphed points:

• 2, 4, 6, 8, 10, 12

• 1, 2, 3, 4, 5, 6

• 10, 20, 30, 40, 50, 60

• 5, 10, 15, 20, 25, 30

The graph shows a relationship between x-values and y-values.

Identify the independent values of the graphed points:

• 2, 4, 6, 8, 10, 12

• 15, 30, 45, 60, 75, 90

• 10, 20, 30, 40, 50, 60

• 1, 2, 3, 4, 5, 6