How to Graph a Pool's Water Level Over Time

TL;DR

To graph the water level of a pool filling to 220 centimeters, plot the water height against time. It rises at a rate of six centimeters per minute, reaching the target height in 20 minutes. Adjust for any initial water level to determine the graph's starting point accurately.

Transcript

• Omojobi is 220 centimeters tall. He wanted to fill up his pool so that the water level would be as high as he is tall. So that the water level, I guess, would be 220 centimeters tall. The water level rose by six centimeters each minute and reached the desired height after 20 minutes. Graph the pool's water level, in centimeters, as a function of ... Read More

Key Insights

• 🤽 The desired water level in the pool is determined by the person's height, which is 220 centimeters.
• 💦 The water level increases by six centimeters per minute.
• ⌛ By subtracting the incremental rise for a specific time period, the water level at an earlier time can be determined.
• ☠️ Understanding the rate of change in the water level helps calculate intervals and plot a graph.
• 💦 The final water level achieved matches the desired height in 20 minutes.
• 😑 It is crucial to consider whether there was any pre-existing water in the pool before filling.
• 🫥 The equation of the line can be determined using the water level at two different times.

Questions & Answers

Q: How high does Omojobi want the water level in his pool to be?

Omojobi wants the water level in his pool to be as high as his 220 centimeters height.

Q: How long does it take for the water level to reach the desired height?

The water level reaches the desired height of 220 centimeters after 20 minutes.

Q: How much does the water level rise each minute?

The water level rises by six centimeters every minute.

Q: What was the water level in the pool 10 minutes ago?

10 minutes ago, the water level was 160 centimeters, as it rises 60 centimeters every 10 minutes.

Summary & Key Takeaways

• Omojobi wants the water level in his pool to be as high as his 220 centimeters height, with the water level rising by six centimeters each minute for a total of 20 minutes.

• After 20 minutes, the water level reaches 220 centimeters, which is the desired height.

• By subtracting the incremental rise of 60 centimeters for the 10 minutes prior, the water level was 160 centimeters 10 minutes ago.