Worksheet for identifying independent and dependent variables in scientific experiments.

Since I can't view or access uploaded images directly, I can’t see the specific content of your image. However, based on the text you've provided, it appears to be a worksheet titled "Identifying Independent and Dependent Variables" with several problems asking students to identify which variable is independent and which is dependent in each scenario.

Let me help you solve each problem by explaining how to determine the independent variable (the one that is changed or controlled) and the dependent variable (the one that responds or is measured).

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🔍 Key Concept:

- Independent Variable (IV): The factor that is deliberately changed or manipulated.
- Dependent Variable (DV): The outcome that is observed or measured in response to the change.

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Now, let’s go through each problem:

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1. The number of students in a class, s, and the number of desks needed, d

- Independent variable: s (number of students)
→ You decide how many students are in the class, which affects the number of desks.
- Dependent variable: d (number of desks needed)
→ This depends on how many students there are.

✔ Answer:
- Independent: s
- Dependent: d

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2. The number of candles on a birthday cake, c, and the person's age, a

- Independent variable: a (age)
→ Age determines how many candles are placed on the cake.
- Dependent variable: c (number of candles)
→ The number of candles depends on age.

✔ Answer:
- Independent: a
- Dependent: c

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3. The height of a sunflower in inches, h, and the number of days since it was planted, d

- Independent variable: d (number of days)
→ Time passes independently; we measure how much the plant grows over time.
- Dependent variable: h (height)
→ Height changes as time increases.

✔ Answer:
- Independent: d
- Dependent: h

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4. The number of gallons of paint needed, g, and the area of a room in square feet, a

- Independent variable: a (area of the room)
→ The size of the room determines how much paint is needed.
- Dependent variable: g (gallons of paint)
→ Paint quantity depends on the area.

✔ Answer:
- Independent: a
- Dependent: g

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5. The number of eggs Dorina has, e, and the number of batches of muffins she can bake, b

- Independent variable: e (number of eggs)
→ She starts with a certain number of eggs, which limits how many batches she can make.
- Dependent variable: b (batches of muffins)
→ Number of batches depends on how many eggs she has.

✔ Answer:
- Independent: e
- Dependent: b

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6. The amount of money Isabella earns, m, and the number of hours she works, h

- Independent variable: h (hours worked)
→ She chooses how many hours to work (or her employer assigns).
- Dependent variable: m (money earned)
→ Earnings depend on how many hours she works.

✔ Answer:
- Independent: h
- Dependent: m

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7. The number of T-shirts a basketball team orders, t, and the number of players on the team, p

- Independent variable: p (number of players)
→ The number of players determines how many shirts are needed.
- Dependent variable: t (number of T-shirts ordered)
→ Shirts depend on how many players there are.

✔ Answer:
- Independent: p
- Dependent: t

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8. The number of miles Terrence has driven, m, and the amount of gas he has used, g

- Independent variable: m (miles driven)
→ Distance traveled is what causes gas usage.
- Dependent variable: g (gas used)
→ Gas consumption increases as miles increase.

✔ Answer:
- Independent: m
- Dependent: g

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✔ Final Answers Summary:

| Problem | Independent Variable | Dependent Variable |
|--------|----------------------|--------------------|
| 1 | s (students) | d (desks) |
| 2 | a (age) | c (candles) |
| 3 | d (days) | h (height) |
| 4 | a (area) | g (paint) |
| 5 | e (eggs) | b (batches) |
| 6 | h (hours) | m (earnings) |
| 7 | p (players) | t (T-shirts) |
| 8 | m (miles) | g (gas) |

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💡 Tip for remembering: Think “What causes the change?”
- The thing you control or change = Independent
- The thing that changes because of it = Dependent

Let me know if you'd like this turned into a printable answer key or want explanations tailored for younger learners!