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1. a water tank is being drained at a constant rate of 20 gallons per m…

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. g = 150 + 20t b. g = 150 - 20t c. g = -20t + 150 d. t = 20g + 150

Explanation:

Step1: Identify the initial - amount and rate

The initial amount of water in the tank is 150 gallons and the rate of water being drained is 20 gallons per minute. The general form of a linear equation for a decreasing - quantity situation is $g = g_0-rt$, where $g$ is the final amount, $g_0$ is the initial amount, $r$ is the rate, and $t$ is the time.
Here, $g_0 = 150$, $r = 20$, and $t$ is the time in minutes. So the equation is $g=150 - 20t$.

Answer:

C. $g=-20t + 150$