A 600 -gallon tank is initially full of water and is being drained at a rate of 30 gallons per minute. Complete parts (a) through (d) below. (a) Write a formula for a linear function \( W \) that gives the number of gallons of water in the tank after \( t \) minutes. W(t) \( =600-30 t \) (Type ansexpression using \( t \) as the variable. Do not factor.) (b) How much water is in the tank after 4 minutes? After 4 minutes, the tank contains \( \square \) gallons water.

After 4 minutes, to find the amount of water left in the tank, we can substitute \( t = 4 \) into the formula \( W(t) = 600 - 30t \). So, \( W(4) = 600 - 30(4) = 600 - 120 = 480 \). After 4 minutes, the tank contains **480 gallons** of water. Now, isn't it interesting that a tank's draining process can be modeled as a simple linear equation? It reminds us of how many daily activities can be simplified into equations; math truly has an abundance of real-world connections! Speaking of connections, many water-related problems, from buckets to bathtubs, can be tackled using similar functions. Just remember to check your units and the specific rates involved! Mistakes like mixing gallons and liters can lead to some soggy situations!