Function Machine | PBS LearningMedia - Free Printable

Looking at the image, we have a series of "machines" that take two input numbers and produce an output using one of four operations: +, –, ×, or ÷.

Our goal is to determine which operation is used in each machine based on the inputs and outputs shown.

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🔍 Step-by-step Analysis:

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#### ✔ First Machine: Inputs 5 and 3 → Output 15

Try each operation:

- 5 + 3 = 8 ✘
- 5 – 3 = 2 ✘
- 5 × 3 = 15 ✔
- 5 ÷ 3 ≈ 1.67 ✘

✔ So, this machine uses multiplication (×).

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#### ✔ Second Machine: Inputs 15 and 4 → Output 60

Try each operation:

- 15 + 4 = 19 ✘
- 15 – 4 = 11 ✘
- 15 × 4 = 60 ✔
- 15 ÷ 4 = 3.75 ✘

✔ So, this machine also uses multiplication (×).

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#### ✔ Third Machine: Inputs 60 and 5 → Output 12

Try each operation:

- 60 + 5 = 65 ✘
- 60 – 5 = 55 ✘
- 60 × 5 = 300 ✘
- 60 ÷ 5 = 12 ✔

✔ So, this machine uses division (÷).

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#### ✔ Fourth Machine: Inputs 12 and 5 → Output ??

We don’t have the output yet — but we can deduce it based on the pattern or by testing operations.

But wait — let’s look at the fifth machine first.

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#### ✔ Fifth Machine: Inputs 17 and 10 → Output ??

Again, no output shown. But notice — the problem likely expects us to find which operation is active in each machine, possibly indicated by which button is highlighted (lit up).

Wait — looking closely at the image:

In each machine, one of the four green buttons (+, –, ×, /) is lit up (brighter green) — indicating the operation being used!

Let me re-express what’s visually shown:

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🟢 Visual Clues from the Image:

In each machine, only one operator button is highlighted (bright green) — that’s the operation being used.

Let’s check:

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#### ➤ First Machine (5 & 3 → 15)

- The × button is highlighted ✔ → matches 5 × 3 = 15 ✔️

#### ➤ Second Machine (15 & 4 → 60)

- The × button is highlighted ✔ → matches 15 × 4 = 60 ✔️

#### ➤ Third Machine (60 & 5 → 12)

- The / button is highlighted ✔ → matches 60 ÷ 5 = 12 ✔️

#### ➤ Fourth Machine (12 & 5 → ???)

- The + button is highlighted ✔ → so operation is addition

→ Output = 12 + 5 = 17

#### ➤ Fifth Machine (17 & 10 → ???)

- The – button is highlighted ✔ → so operation is subtraction

→ Output = 17 – 10 = 7

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✔ Final Answer:

The operations used in each machine are:

1. 5 and 3 → 15: Multiplication (×)
2. 15 and 4 → 60: Multiplication (×)
3. 60 and 5 → 12: Division (÷)
4. 12 and 5 → 17: Addition (+)
5. 17 and 10 → 7: Subtraction (–)

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🧠 Explanation:

This is a logic puzzle where you must match the correct operation to the given inputs and outputs. The visual cue (highlighted button) tells you which operation is active — and you can verify it mathematically. In cases where output isn't shown (like machines 4 and 5), you use the highlighted operator to compute the result.

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📌 Therefore, the completed outputs are:

- Machine 4: 17
- Machine 5: 7

And the operations are as above.

✔ Problem solved!