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) belon A. The t-intercept is the constant rate of change of water in the tank B. The t-intercept is the initial amount of water in the tank C. The t-intercept is the time it takes to empty the tank. Thype an ordered pair.) Interpret the W-intercept Choose the correct answer below. A. The W-intercept is the time it takes to empty the tank. B. The W-intercept is the constant rate of change of water in the tank. C. The w-intercept is the initial amount of water in the tank

When analyzing this scenario, it's useful to think of how the relationship operates over time. The t-intercept (or time-intercept) represents the time required to drain the entire tank of 600 gallons at a rate of 30 gallons per minute. Since 600 gallons divided by 30 gallons per minute equals 20, the t-intercept is (20, 0), meaning it takes 20 minutes to empty the tank completely! Now, for the W-intercept (or water-intercept), it denotes the starting point of water in the tank when t = 0. In this case, the W-intercept is (0, 600) because at time zero (the start of draining), there are 600 gallons of water in the tank. This shows the initial state before any water is drained away!