Question

water is steadily pumped out of a flooded basement. let v be the volume of water (in thousands of gallons) that remains in the basement t hours after the water began to be pumped. a linear model is shown below.
complete parts a) through d).
a) how much water is in the basement after 4 hours of pumping?
□ thousand gallons

Explanation:

Step1: Identify the graph's axes

The x - axis is time \( t \) (in hours) and the y - axis is volume \( v \) (in thousands of gallons). We need to find the value of \( v \) when \( t = 4 \).

Step2: Locate \( t = 4 \) on the x - axis

Find the vertical line corresponding to \( t=4 \) hours. Then, find the point where this vertical line intersects the given linear graph.

Step3: Find the y - value at \( t = 4 \)

From the graph, when we move up from \( t = 4 \) on the x - axis until we meet the line, we can see that the y - coordinate (volume) at \( t = 4 \) is 16 (since each grid square can be analyzed, and by looking at the slope and intercept, or directly reading the graph, at \( t = 4 \), the \( v \) value is 16 thousand gallons).

Answer:

16