4. A mole can dig 3.6 meters in 36 minutes. a. What is the unit rate? b. Digging at the same speed, how far can the mole dig in 17 minutes?

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To solve the problem, let's break it down into parts **a** and **b**.

---

### **a. Finding the Unit Rate**

**Unit rate** refers to the amount of something per one unit of another quantity. In this case, we want to determine how many meters the mole digs **per minute**.

**Given:**
- The mole digs **3.6 meters** in **36 minutes**.

**Calculation:**

$$
\text{Unit Rate} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{3.6 \text{ meters}}{36 \text{ minutes}} = 0.1 \text{ meters per minute}
$$

**Answer:** The unit rate is **0.1 meters per minute**.

---

### **b. Calculating Distance in 17 Minutes**

Now that we know the mole digs at a rate of **0.1 meters per minute**, we can find out how far it can dig in **17 minutes**.

**Given:**
- Unit rate = **0.1 meters per minute**
- Time = **17 minutes**

**Calculation:**

$$
\text{Distance} = \text{Unit Rate} \times \text{Time} = 0.1 \text{ meters/minute} \times 17 \text{ minutes} = 1.7 \text{ meters}
$$

**Answer:** In 17 minutes, the mole can dig **1.7 meters**.

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### **Summary**

- **a.** The unit rate is **0.1 meters per minute**.
- **b.** In 17 minutes, the mole can dig **1.7 meters**.
a. The mole digs 0.1 meters per minute. b. In 17 minutes, the mole can dig 1.7 meters.

4. A mole can dig 3.6 meters in 36 minutes. a. What is the unit rate? b. Digging at the same speed, how far can the mole dig in 17 minutes?

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