How many gallons per minute leak out of container B?

Question

Graph showing:
Points on graph:
400 amount of water and 25 minutes
100 amount of water and 50 munties

Answer 1

To determine how many gallons per minute leak out of container B based on the given points on the graph, we can calculate the rate of leakage using the two points provided.

The two points are:

1. (25 minutes, 400 gallons)
2. (50 minutes, 100 gallons)

First, we calculate the change in volume and the change in time.

Change in volume:

• From 400 gallons to 100 gallons, the change in volume is: \[ 400 - 100 = 300 \text{ gallons} \]

Change in time:

• From 25 minutes to 50 minutes, the change in time is: \[ 50 - 25 = 25 \text{ minutes} \]

Rate of leakage:

• To find the rate of leakage (gallons per minute), we divide the change in volume by the change in time: \[ \text{Rate} = \frac{\text{Change in volume}}{\text{Change in time}} = \frac{300 \text{ gallons}}{25 \text{ minutes}} = 12 \text{ gallons per minute} \]

Therefore, the leakage rate from container B is 12 gallons per minute.

Answer 2

What is the starting amount of water for container B?
In other words, how much water did container B have before it started leaking water?

Answer 3

To find the starting amount of water in container B, we can use the information from the points on the graph provided:

1. Point 1: At 25 minutes, the container had 400 gallons of water.
2. Point 2: At 50 minutes, the container had 100 gallons of water.

We also know that the rate of leakage we calculated earlier was 12 gallons per minute.

Calculate the amount of water lost during that time interval:

• The time interval between the two points is 50 minutes - 25 minutes = 25 minutes.
• The amount of water lost during this time can be calculated as: \[ \text{Water lost} = \text{Rate} \times \text{Time} = 12 \text{ gallons per minute} \times 25 \text{ minutes} = 300 \text{ gallons} \]

Now, we can determine the starting amount of water by adding the water lost to the amount present at the first point (at 25 minutes):

\[ \text{Starting amount of water} = \text{Amount at 25 minutes} + \text{Water lost} = 400 \text{ gallons} + 300 \text{ gallons} = 700 \text{ gallons} \]

Thus, the starting amount of water in container B before it started leaking was 700 gallons.