Questions: The graph of y=f(x) represents the amount of water in thousands of gallons remaining in a swimming pool after x days.

The graph of y=f(x) represents the amount of water in thousands of gallons remaining in a swimming pool after x days.
Transcript text: The graph of $y=f(x)$ represents the amount of water in thousands of gallons remaining in a swimming pool after $x$ days.
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Solution

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Solution Steps

Step 1: Identify the initial amount of water

The graph shows the amount of water in thousands of gallons remaining in a swimming pool over time. At \( x = 0 \) days, the initial amount of water is 48 thousand gallons.

Step 2: Determine the amount of water after 1 day

From the graph, at \( x = 1 \) day, the amount of water remaining is 44 thousand gallons.

Step 3: Calculate the change in water amount from day 0 to day 1

The change in the amount of water from day 0 to day 1 is: \[ 48 \text{ thousand gallons} - 44 \text{ thousand gallons} = 4 \text{ thousand gallons} \]

Final Answer

The initial amount of water is 48 thousand gallons, and the change in water amount from day 0 to day 1 is 4 thousand gallons.

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