Find the unit rate for the following. Set up as proportions (ratio = ratio). \( \begin{array}{ll}\text { 4.) } 108 \text { people in } 9 \text { lines } & \text { 6. } 12 \text { bales of hay fo }\end{array} \)

Sure, let's tackle each problem by setting up proportions to find the unit rates. --- ### **Problem 4:** **108 people in 9 lines** **Goal:** Find the unit rate in terms of *people per line*. **Step 1:** Identify the given ratio and the desired unit rate. - Given Ratio: 108 people / 9 lines - Desired Unit Rate: *x* people / 1 line **Step 2:** Set up the proportion. \[ \frac{108\ \text{people}}{9\ \text{lines}} = \frac{x\ \text{people}}{1\ \text{line}} \] **Step 3:** Solve for *x*. \[ x = \frac{108\ \text{people}}{9} = 12\ \text{people per line} \] **Answer:** The unit rate is **12 people per line**. --- ### **Problem 6:** **12 bales of hay for _[missing information]_** It seems like part of the information for Problem 6 is missing. Typically, to find a unit rate, we'd need a complete ratio. For example, if it were "12 bales of hay for 3 farms," we could set it up similarly to Problem 4. **Assuming a Scenario:** Let's assume the missing information is "12 bales of hay for 4 farms." **Goal:** Find the unit rate in terms of *bales per farm*. **Step 1:** Identify the given ratio and the desired unit rate. - Given Ratio: 12 bales / 4 farms - Desired Unit Rate: *x* bales / 1 farm **Step 2:** Set up the proportion. \[ \frac{12\ \text{bales}}{4\ \text{farms}} = \frac{x\ \text{bales}}{1\ \text{farm}} \] **Step 3:** Solve for *x*. \[ x = \frac{12\ \text{bales}}{4} = 3\ \text{bales per farm} \] **Answer:** Assuming the scenario, the unit rate is **3 bales per farm**. --- **Note:** If you provide the complete information for Problem 6, I can offer a more accurate solution. The method illustrated above can be applied once all necessary details are available.