To determine the correct equation that describes the relationship between the time in minutes (x) and the amount of water in gallons (y), you would typically look at the graph's characteristics, such as the slope, intercepts, and overall trend. I cannot visualize the graph as it was not provided. However, you can identify the correct equation by following these steps:
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Identify the Slope: Look at how much the amount of water changes as the minutes pass. Determine if the increase or decrease is constant and by how much.
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Find the Y-Intercept: Check where the line crosses the y-axis when x = 0 minutes. This point indicates the initial amount of water in the bathtub.
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Choose an equation type: Depending on the relationship (linear, quadratic, exponential, etc.), decide which type of equation might fit. If the change in water amount is consistent, it’s likely a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept.
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Compare with Options: Once you identify the slope and intercept, compare those values with each of the provided options (A, B, C, D) to find the matching equation.
Feel free to provide more details about the graph, such as specific points, trends, or labeled axes, so I can assist you further in determining the correct equation!