Question

its a warm spring day, and kendall is watering her flower bed. she starts with a watering can full of water. then, she pours a steady stream of water on the flowers. when the watering can is empty, she walks to the outdoor faucet at the back of her house and refills it. which graph could show the amount of water in the watering can over time?

Explanation:

Step1: Analyze Initial State

Kendall starts with a full watering can, so the graph should begin at a non - zero volume (y - axis value). This eliminates the bottom - two graphs which start at 0.

Step2: Analyze Watering Phase

She pours water steadily, so the volume should decrease linearly (a straight line with negative slope) until the can is empty (volume = 0).

Step3: Analyze Refilling Phase

When she refills the can, the volume should increase rapidly (a steep positive - sloped line) back to the full volume. After refilling, since the problem doesn't mention her watering again immediately, but in the first graph (top - left), after refilling, the volume goes back to full quickly (steep line) and then? Wait, no, wait. Wait, when she refills, the time taken to refill is short, so the line for refilling is steep. And initially, she has full can, then waters (decreases linearly), then refills (increases steeply back to full). Wait, the top - left graph: starts at full, decreases to 0 (linear), then a horizontal line (time to walk and refill? No, refilling should be a steep increase). Wait, no, the top - left graph: after reaching 0, there is a horizontal line (time when can is empty, she walks to faucet), then a steep increase back to full. The top - right graph: after reaching 0, it increases steeply back to full and then stays? But the problem says "when the watering can is empty, she walks to the outdoor faucet... and refills it". It doesn't say she stops watering after that, but the process is start with full, water (decrease) to empty, refill (increase) to full. Wait, the initial state is full, so the first part is decreasing. So the correct graph should start at full, decrease linearly to 0, then increase steeply back to full. Wait, the top - left graph: starts at full, decreases to 0 (linear), then a horizontal segment (time to walk to faucet, can is empty), then a steep increase back to full. The top - right graph: starts at full, decreases to 0, then increases steeply back to full and then stays. But the problem says "she starts with a watering can full of water. Then, she pours a steady stream of water... when the watering can is empty, she walks... and refills it." So the process is: full -> water (decrease) -> empty -> refill (increase) -> full. So the graph should have a decrease from full to 0, then an increase from 0 to full (steep, since refilling is quick). The top - left graph has a horizontal line after 0, which would be the time when the can is empty and she is walking to the faucet (so volume is 0 during that time), then refills (steep line) back to full. The top - right graph, after refilling, it stays at full, but the problem doesn't say she stops watering, but maybe the graph is just showing the amount over time, with the first cycle: full -> water (decrease) -> empty -> refill (increase) -> full. So the top - left graph: starts at full, decreases to 0 (linear), then a horizontal line (time with empty can, walking to faucet), then a steep increase back to full. The top - right graph: starts at full, decreases to 0, then increases steeply back to full and then stays. But the initial action is starting with full, so the first segment is decreasing. So the correct graph is the top - left one? Wait, no, wait the axes: x is time, y is volume. So when she starts, time = 0, volume = full. Then as time increases, volume decreases (watering) until it reaches 0. Then, she takes some time to walk to the faucet (during which volume is 0, so horizontal line), then refills (volume increases steeply back to full). So the top - left graph has that: decreasing to 0, horizontal (time empty), then steep increase to full. The top - right graph: decreasing to 0, then steep increase to full, then horizontal. But the problem says "when the watering can is empty, she walks... and refills it". It doesn't say she stops after refilling, but the graph is about the amount over time, so the first cycle is full -> water (decrease) -> empty -> refill (increase) -> full. So the top - left graph is correct because after emptying, there is a period (horizontal line) when the can is empty (she is walking to the faucet), then refilling (steep line). The top - right graph doesn't have the horizontal line (time when can is empty, she is walking), it just goes from 0 to full immediately, which would mean no time to walk, just refill instantly. So the correct graph is the top - left one (the first graph in the top row, left column).

Answer:

The graph on the Top - Left