# Worksheet: Dependent and Independent Variables

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

**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

**Q7: **

Chloe is buying sponge cakes and cupcakes for her birthday party. She wants to work out the total cost given that one sponge cake costs 15 dollars, and one box of cupcakes costs 10 dollars.

Which quantity is the dependent variable?

- AThe total cost
- BThe price of one cupcake box
- CThe number of cupcake boxes
- DThe price of the cake

Which quantity is the independent variable?

- AThe total cost Chloe would pay
- BThe price of the cake
- CThe number of cakes and cupcake boxes
- DThe price of one cupcake box

**Q8: **

Emma is buying pizza for dinner. One basic pizza costs $10, and each added topping costs $2. The total cost , in dollars, is then given by , where is the total number of toppings ordered. Which variable is the dependent one?

- AThe number of toppings
- BThe total cost
- CThe number of pizzas
- DNeither

**Q9: **

In the function , which variable is the independent one?

- A
- B
- CNeither

**Q10: **

Liam is traveling around the country. He wants to calculate the total distance that he has traveled given that he drove at an average speed for hours. Which quantity is the independent variable?

- ANumber of hours
- BSpeed
- CDistance
- DNone of these