2. Rebecea uses \( \frac{3}{4} \) gallon of paint to col 1 wall. She has 3 gallons of paint. Draw model to show how many walls she can paint.

To determine how many walls Rebecea can paint with her available paint, let's break down the problem step-by-step and create a simple model to visualize the solution. ### **Given:** - **Paint used per wall:** \( \frac{3}{4} \) gallon - **Total paint available:** 3 gallons ### **Objective:** Find out how many walls Rebecea can paint with 3 gallons of paint. ### **Step 1: Set Up the Calculation** To find the number of walls she can paint, divide the total amount of paint by the amount of paint used per wall: \[ \text{Number of Walls} = \frac{\text{Total Paint}}{\text{Paint per Wall}} = \frac{3 \text{ gallons}}{\frac{3}{4} \text{ gallon per wall}} \] ### **Step 2: Perform the Division** Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{3}{\frac{3}{4}} = 3 \times \frac{4}{3} = 4 \] So, Rebecea can paint **4 walls** with 3 gallons of paint. ### **Model Representation:** Imagine the 3 gallons of paint as a whole that needs to be divided into portions, each representing the paint needed for one wall (\( \frac{3}{4} \) gallon). 1. **Total Paint (3 gallons):** ``` |---------|---------|---------| 0 1 2 3 (gallons) ``` 2. **Paint per Wall (\( \frac{3}{4} \) gallon):** - Each wall requires 0.75 gallons. 3. **Dividing the Total Paint:** - **Wall 1:** 0 to 0.75 gallons - **Wall 2:** 0.75 to 1.5 gallons - **Wall 3:** 1.5 to 2.25 gallons - **Wall 4:** 2.25 to 3 gallons ``` |---Wall 1---|---Wall 2---|---Wall 3---|---Wall 4---| 0 0.75 1.5 2.25 3 (gallons) ``` Each segment represents the paint used for one wall. As shown, 3 gallons of paint are divided into four segments of \( \frac{3}{4} \) gallon each. ### **Conclusion:** Rebecea can paint **4 walls** with her 3 gallons of paint.