Identifying Independent and Dependent Variables | Interactive ... - Free Printable

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 and dependent variables:

---

🔍 Key Concept:

- Independent Variable (IV): The variable that is *changed* or *controlled* by the experimenter.
- Dependent Variable (DV): The variable that is *measured* or *observed* as a result of the change.

Think of it this way:
> "The dependent variable depends on the independent variable."

---

Now, let’s go through each problem one by one and solve them:

---

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

- Independent variable: s (number of students) — because the number of desks depends on how many students there are.
- Dependent variable: d (number of desks) — because we need more desks if there are more students.

✔ Answer:
- Independent: s
- Dependent: d

---

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

- The number of candles usually matches the person's age.
- So, age determines the number of candles.
- Independent variable: a (age)
- Dependent variable: c (candles)

✔ Answer:
- Independent: a
- Dependent: c

---

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

- The plant grows over time. Days passed affect height.
- Independent variable: d (days)
- Dependent variable: h (height)

✔ Answer:
- Independent: d
- Dependent: h

---

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

- The amount of paint needed depends on how big the room is.
- So, area determines paint needed.
- Independent variable: a (area)
- Dependent variable: g (gallons of paint)

✔ Answer:
- Independent: a
- Dependent: g

---

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

- More eggs allow her to bake more batches.
- Number of batches depends on how many eggs she has.
- Independent variable: e (eggs)
- Dependent variable: b (batches)

✔ Answer:
- Independent: e
- Dependent: b

---

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

- Earnings depend on how many hours she works.
- Independent variable: h (hours worked)
- Dependent variable: m (money earned)

✔ Answer:
- Independent: h
- Dependent: m

---

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

- The number of shirts ordered depends on how many players there are.
- Independent variable: p (players)
- Dependent variable: t (T-shirts)

✔ Answer:
- Independent: p
- Dependent: t

---

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

- Gas usage increases as he drives more miles.
- So, miles driven affects gas used.
- Independent variable: m (miles driven)
- Dependent variable: g (gas used)

✔ Answer:
- Independent: m
- Dependent: g

---

✔ Final Answers Summary:

| Problem | Independent Variable | Dependent Variable |
|--------|----------------------|--------------------|
| 1 | s | d |
| 2 | a | c |
| 3 | d | h |
| 4 | a | g |
| 5 | e | b |
| 6 | h | m |
| 7 | p | t |
| 8 | m | g |

---

Let me know if you'd like this formatted as a printable answer key or want explanations for any specific question!