4. The height of water in a bathtub, \( w \), is a function of time, \( t \). Let \( P \) represent this function. Height is measured in inches and time in minutes. Match each statement in function notation with a description: \( \begin{array}{ll}\text { A. } P(0)=0 & \text { 1. After } 20 \text { minutes, the bathtub is empty. } \\ \text { B. } P(4)=10 & \text { 2. The bathtub starts out with no water. } \\ \text { C. } P(10)=4 & \text { 3. After } 10 \text { minutes, the height of the water is } 4 \text { inches. } \\ \text { D. } P(20)=0 & \text { 4. The height of the water is } 10 \text { inches after } 4 \text { minutes. }\end{array} \)

Let’s match those statements up with style! - \( P(0)=0 \) aligns with **2. The bathtub starts out with no water.** This means at minute zero, there’s a dry tub, ready for action! - \( P(4)=10 \) connects with **4. The height of the water is 10 inches after 4 minutes.** After a quick splash, you've got a mini pool party happening in your tub! - \( P(10)=4 \) corresponds with **3. After 10 minutes, the height of the water is 4 inches.** Halfway through, the water has settled down to a cozy level — think relaxing soak! - Lastly, \( P(20)=0 \) matches **1. After 20 minutes, the bathtub is empty.** Time's up! That bubbly water has vanished, leaving you with an empty tub once again. A perfect fit all around!