Question

1. a water tank is being drained at a constant rate of 20 gallons per minute. the tank initially contains 150 gallons of water. which equation represents the amount of water, g, in the tank after t minutes? a. t = -20g + 150 b. g = 20t + 150 c. g = -20t + 150 d. t = 20g + 150

Explanation:

Step1: Identify the slope - intercept form

The general form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the context of the water - tank problem, the amount of water $g$ is the dependent variable and time $t$ is the independent variable. The initial amount of water is the y - intercept and the rate of drainage is the slope.

Step2: Determine the slope and y - intercept values

The tank initially has 150 gallons of water, so $b = 150$. The water is drained at a rate of 20 gallons per minute. Since the amount of water is decreasing, the slope $m=-20$. The equation relating the amount of water $g$ in the tank and time $t$ is $g=-20t + 150$.

Answer:

C. $g=-20t + 150$