There are a 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute.
Which equation represents the scenario above.
Question 4 options:
y = 120 + 25
y = 25x - 120
y = 120 - 25X
x = 120 - 25y
y = 120 - 25X
To determine the equation that represents the given scenario, we need to understand the context and meaning behind the variables involved. In this case, the variable "y" represents the amount of water in the tank after a certain period of time, while the variable "x" represents the time in minutes.
The scenario states that there are initially 120 gallons of water in the tank. As time passes, water is being released from the tank at a rate of 25 gallons per minute. Therefore, the equation needs to reflect the fact that the original amount of water is decreasing over time.
Let's break down the options:
1. y = 120 + 25: This equation adds 25 to the initial amount of water, which does not account for the water being released from the tank. Additionally, it does not involve the variable "x" to represent time.
2. y = 25x - 120: This equation involves both variables "x" and "y," and it subtracts 120 (the initial amount) from the rate of water being released. However, this is not the correct equation because it subtracts the initial amount instead of adding it.
3. y = 120 - 25x: This equation reflects the correct relationship between the variables. It subtracts the rate of water being released from the initial amount. This equation correctly represents the scenario, so it is the answer.
4. x = 120 - 25y: This equation switches the roles of the variables. It suggests that the time (x) is dependent on the amount of water (y), which is not consistent with the given scenario.
Therefore, the correct equation that represents the scenario is:
y = 120 - 25x
The equation that represents the scenario above is:
y = 120 - 25x