Quiz 1: Variables & Equations Relationships

Which of the following best represents the independent quantities in the table below?

• 2, 7.5, 3, 11.25

• 7.5, 11.25, 18.75, 30

• 2, 3, 5, 8

• 20, 30, 50, 80

The following graph shows the relationship between the number of times a gear can rotate in a period of time. Which of the following statements is true?

• The number of rotations and the number of minutes are both independent quantities.

• The number of rotations is the dependent quantity and the number of minutes is the independent quantity.

• The number of rotations is the independent quantity and the number of minutes is the dependent quantity.

• The number of rotations and the number of minutes are both dependent quantities.

Which of the following tables best represents the relationship between p and f in the equation p = f + 0.5?

• f | p 3 | 3.5 5 | 5.5 8 | 8.5 10 | 10.5 14 | 14.5

• f | p 3.5 | 3 5.5 | 5 8.5 | 8 10.5 | 10 14.5 | 14

• f | p 3 | 1.5 5 | 2.5 8 | 4 10 | 5 14 | 7

• f | p 3 | 8 5 | 10 8 | 13 10 | 15 14 | 19

In the table below, is it showing an additive or multiplicative relationship?

• A. Additive

• B. Multiplicative

• C. Not enough information

In the table below, is it showing an additive or multiplicative relationship?

• Additive

• Multiplicative

• Not enough information

The __________________________ depends on the __________________________, which is the independent variable.

• The amount of money after purchase depends on the amount of money before purchase.

• The amount of money before purchase depends on the amount of money after purchase.

• The amount of money after purchase depends on the number of items purchased.

• The amount of money before purchase depends on the number of items purchased.

Complete the statements below. The __________________________ depends on the __________________________, which is the independent variable.

• The number of pennies depends on the change in volume.

• The change in volume depends on the number of pennies.

• The variable depends on the constant.

• The constant depends on the variable.

8. The total cost of going bowling is shown below. What is the equation that represents the relationship? Cost of Lane Rental (r) | Total Cost of Bowling (c) 11 | 16 21 | 26 31 | 36 41 | 46 51 | 56 Equation: __________________________

• c = r + 5

• c = r + 10

• c = 2r + 5

• c = 2r + 10

Which equation best represents the relationship shown in the graph below?

• m = 60g

• g = 30m

• g = 60m

• m = 30g