Question
(a)
A tank of water was drained at a constant rate. The table shows the number of gallons of water left in the tank after being drained for two amounts of time.
Part A
What is the rate at which the water was drained from the tank?
A
666 gallons of water per minute
B
111111 gallons of water per minute
C
454545 gallons of water per minute
D
120120120 gallons of water per minute
(b)
Part B
What was the total amount of water in the tank before it was drained?
A
450450450 gallons
B
510510510 gallons
C
560560560 gallons
D
570570570 gallons
Answers
GPT-4o mini
To solve the problem, we need more information from the table regarding the number of gallons left in the tank after certain amounts of time. However, we can work through the concepts using an example.
(a) **Finding the Rate**:
If we had data of the remaining gallons after specific times (e.g., 100 gallons after 10 minutes and 50 gallons after 20 minutes), we could find the rate by calculating the difference in gallons and dividing by the difference in time.
Let's assume:
- After 10 minutes, there are 100 gallons left.
- After 20 minutes, there are 50 gallons left.
We can calculate the rate as follows:
- Change in gallons: 100 - 50 = 50 gallons
- Change in time: 20 - 10 = 10 minutes
Rate = Change in gallons / Change in time = 50 gallons / 10 minutes = 5 gallons per minute.
Without the actual gallons and time data, I can't determine the correct answer from the given options. If you provide the numbers from the table, I can directly calculate the rate.
(b) **Finding the Initial Amount of Water**:
To find the total amount of water in the tank before draining, we can use the gallons left after a certain time and the calculated rate:
For example, if after 10 minutes 100 gallons are left, and the rate is 5 gallons per minute, we can calculate the total initial amount as follows:
Initial amount = gallons left + (rate × time)
Initial amount = 100 + (5 × 10) = 100 + 50 = 150 gallons.
Again, without specific numbers from the table, I can't find the correct answer from the options given. Please provide the numbers, and I can help you find the answers.
(a) **Finding the Rate**:
If we had data of the remaining gallons after specific times (e.g., 100 gallons after 10 minutes and 50 gallons after 20 minutes), we could find the rate by calculating the difference in gallons and dividing by the difference in time.
Let's assume:
- After 10 minutes, there are 100 gallons left.
- After 20 minutes, there are 50 gallons left.
We can calculate the rate as follows:
- Change in gallons: 100 - 50 = 50 gallons
- Change in time: 20 - 10 = 10 minutes
Rate = Change in gallons / Change in time = 50 gallons / 10 minutes = 5 gallons per minute.
Without the actual gallons and time data, I can't determine the correct answer from the given options. If you provide the numbers from the table, I can directly calculate the rate.
(b) **Finding the Initial Amount of Water**:
To find the total amount of water in the tank before draining, we can use the gallons left after a certain time and the calculated rate:
For example, if after 10 minutes 100 gallons are left, and the rate is 5 gallons per minute, we can calculate the total initial amount as follows:
Initial amount = gallons left + (rate × time)
Initial amount = 100 + (5 × 10) = 100 + 50 = 150 gallons.
Again, without specific numbers from the table, I can't find the correct answer from the options given. Please provide the numbers, and I can help you find the answers.