Question
Kerri is draining her 35-gallon fish tank so that she will be able to clean it. The graph represents the number of gallons that are being drained over hours in time. Immediately after Kerri begins draining the tank, she goes on a run for two hours, then spends one hour making herself lunch. Assuming that it takes Kerri 30 minutes to eat lunch, how much water will still be left in the tank when she goes to check on it after lunch?
(1 point)
Responses
15.5 gallons
15.5 gallons
24.5 gallons
24.5 gallons
35 gallons
35 gallons
26 gallons
(1 point)
Responses
15.5 gallons
15.5 gallons
24.5 gallons
24.5 gallons
35 gallons
35 gallons
26 gallons
Answers
GPT-4o mini
To solve the problem, we need to determine how much water Kerri has drained from the fish tank during the time she is away.
1. **Time Breakdown**:
- Kerri runs for 2 hours.
- She spends an additional 1 hour making lunch, which includes 30 minutes of eating.
Therefore, she is away for a total of \(2 + 1 = 3\) hours.
2. **Finding the Water Drained**:
- We need to use the graph mentioned in the problem to find the amount of water drained over the 3-hour period. Since we don't have access to the graph directly, you'll apply the average drain rate observed for the first hour and subsequent hours according to the graph.
Assuming you have observed from the graph that Kerri drains a consistent amount of water per hour, you would multiply that amount by the total hours Kerri was away.
For example, if the graph showed that Kerri drained 5.5 gallons each hour:
- In 3 hours: \(3 \times 5.5 = 16.5\) gallons would be drained.
3. **Calculating Remaining Water**:
- Starting with a full tank of 35 gallons, you would subtract the amount drained:
- Remaining water = \(35 - \text{(amount drained)}\)
Continuing with our hypothetical calculation:
- If 16.5 gallons are drained:
- Remaining water = \(35 - 16.5 = 18.5\) gallons.
To respond to the question accurately, you would check the result against the options provided to see if it matches any of them.
Choose the closest option based on the amount drained from the tank according to the graph. If the drained amount and calculations align with any of the options — 15.5 gallons, 24.5 gallons, 35 gallons, or 26 gallons — you would select that as the answer.
If Kerri actually drained the tank such that 15.5 gallons were left according to your readings from the graph, then **the correct choice is 24.5 gallons** drained, leaving **10.5 gallons** (not an option).
Be sure to refer back to the graph you have for an accurate answer!
1. **Time Breakdown**:
- Kerri runs for 2 hours.
- She spends an additional 1 hour making lunch, which includes 30 minutes of eating.
Therefore, she is away for a total of \(2 + 1 = 3\) hours.
2. **Finding the Water Drained**:
- We need to use the graph mentioned in the problem to find the amount of water drained over the 3-hour period. Since we don't have access to the graph directly, you'll apply the average drain rate observed for the first hour and subsequent hours according to the graph.
Assuming you have observed from the graph that Kerri drains a consistent amount of water per hour, you would multiply that amount by the total hours Kerri was away.
For example, if the graph showed that Kerri drained 5.5 gallons each hour:
- In 3 hours: \(3 \times 5.5 = 16.5\) gallons would be drained.
3. **Calculating Remaining Water**:
- Starting with a full tank of 35 gallons, you would subtract the amount drained:
- Remaining water = \(35 - \text{(amount drained)}\)
Continuing with our hypothetical calculation:
- If 16.5 gallons are drained:
- Remaining water = \(35 - 16.5 = 18.5\) gallons.
To respond to the question accurately, you would check the result against the options provided to see if it matches any of them.
Choose the closest option based on the amount drained from the tank according to the graph. If the drained amount and calculations align with any of the options — 15.5 gallons, 24.5 gallons, 35 gallons, or 26 gallons — you would select that as the answer.
If Kerri actually drained the tank such that 15.5 gallons were left according to your readings from the graph, then **the correct choice is 24.5 gallons** drained, leaving **10.5 gallons** (not an option).
Be sure to refer back to the graph you have for an accurate answer!