1. **State the problem:** We have the equation $$W = 15T + 500$$ where $W$ is the amount of water in the pond (liters) and $T$ is the number of minutes water has been added. 2. **Identify domain and range:** - The **domain** is the set of all possible values for $T$, the number of minutes water has been added. Since time cannot be negative, the domain is $$T \geq 0$$. - The **range** is the set of all possible values for $W$, the amount of water in the pond. When $T=0$, $$W=500$$ liters (initial amount). As $T$ increases, $W$ increases linearly. 3. **Express domain and range in set notation:** - Domain: $$\{T \in \mathbb{R} : T \geq 0\}$$ - Range: $$\{W \in \mathbb{R} : W \geq 500\}$$ 4. **Explanation:** - The domain includes all non-negative real numbers because time cannot be negative. - The range starts at 500 liters because initially there are 500 liters in the pond, and it increases by 15 liters per minute. Thus, the domain and range describe the possible inputs and outputs of the function $W = 15T + 500$.