Worksheet: Dependent and Independent Variables

In this worksheet, we will practice determining the dependent and independent variables and solving word problems.

Q1:

Identify the dependent variable in the following situation: Ethan spent 𝑑 dollars on 𝑛 pens.

  • Athe number of dollars, 𝑑
  • Bthe number of pens, 𝑛

Q2:

Identify the independent variable in the following situation: A garden hose runs for hours and produces 𝑔 gallons of water.

  • Athe number of hours,
  • Bthe gallons of water, 𝑔

Q3:

Consider these related quantities: a call duration and its cost.

Which quantity is the independent variable?

  • AThe call duration
  • BThe call cost
  • CNeither

Which quantity is the dependent variable?

  • AThe call cost
  • BNeither
  • CThe call duration

Q4:

Consider these related quantities: The area of a wall to be painted and the amount of paint needed to paint that area.

Which quantity is the dependent variable?

  • AThe quantity of paint needed
  • BThe area of the wall to be painted
  • CNeither

Which quantity is the independent variable?

  • ANeither
  • BThe quantity of paint needed
  • CThe area of the wall to be painted

Q5:

Daniel and Matthew want to investigate how the outside temperature changes during a day. Daniel says that time is the dependent variable because it is measured. Matthew says that time is the independent variable because they can choose at which time they are going to measure the outside temperature. Who is correct?

  • AMatthew
  • BDaniel

Q6:

James wants to investigate the relationship between the temperature of the oven and the time it takes to cook 1 kilogram of potatoes.

What is the dependent variable?

  • AThe oven temperature
  • BThe cooking time
  • CThe mass of the potatoes
  • DNone

What is the independent variable?

  • AThe oven temperature
  • BThe mass of the potatoes
  • CNone
  • DThe cooking time

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