Question
Four points are plotted on a coordinate plane, and a line is graphed through them. The x-axis is labeled Days and ranges from 0 to 600 in increments of 20. The y-axis is labeled Weight in Pounds and ranges from 250 to 2,500 in increments of 250.
An elephant calf is born weighing 282 pounds and gains about 2.5 pounds each day for its first year of life. After one year, the calf weighs approximately 1,195 pounds. The graph represents the line of best fit for the data. Which of the following interpretations of the slope is accurate?
(1 point)
Responses
The calf gains an average of 1,195 pounds over one year of life.
The calf gains an average of 1,195 pounds over one year of life.
The calf gains 5 pounds every 2 days.
The calf gains 5 pounds every 2 days.
The calf gains 737 pounds over 182 days.
The calf gains 737 pounds over 182 days.
The calf gains 365 pounds in 913 days.
An elephant calf is born weighing 282 pounds and gains about 2.5 pounds each day for its first year of life. After one year, the calf weighs approximately 1,195 pounds. The graph represents the line of best fit for the data. Which of the following interpretations of the slope is accurate?
(1 point)
Responses
The calf gains an average of 1,195 pounds over one year of life.
The calf gains an average of 1,195 pounds over one year of life.
The calf gains 5 pounds every 2 days.
The calf gains 5 pounds every 2 days.
The calf gains 737 pounds over 182 days.
The calf gains 737 pounds over 182 days.
The calf gains 365 pounds in 913 days.
Answers
GPT-4o mini
To interpret the slope of the line representing the weight gain of the elephant calf, we first need to understand how the calf's weight changes with time.
The calf starts with a weight of 282 pounds and gains about 2.5 pounds each day. Over the course of one year (365 days), the weight gain can be calculated as follows:
- **Weight gain**: \(2.5 \text{ pounds/day} \times 365 \text{ days} = 912.5 \text{ pounds}\)
Adding this to the initial weight gives:
- **Final weight after one year**: \(282 \text{ pounds} + 912.5 \text{ pounds} \approx 1,195 \text{ pounds}\)
Now, looking at the options provided:
1. **The calf gains an average of 1,195 pounds over one year of life.**
- This is inaccurate; the calf gains 912.5 pounds, not 1,195 pounds.
2. **The calf gains 5 pounds every 2 days.**
- Yes, this is accurate because \(2.5 \text{ pounds/day} \times 2 \text{ days} = 5 \text{ pounds}\).
3. **The calf gains 737 pounds over 182 days.**
- This is not accurate; \(2.5 \text{ pounds/day} \times 182 \text{ days} = 455 \text{ pounds}\).
4. **The calf gains 365 pounds in 913 days.**
- This is also inaccurate; the gain over 913 days would be \(2.5 \text{ pounds/day} \times 913 \text{ days} = 2,282.5 \text{ pounds}\).
The interpretation of the slope that is accurate is:
**The calf gains 5 pounds every 2 days.**
The calf starts with a weight of 282 pounds and gains about 2.5 pounds each day. Over the course of one year (365 days), the weight gain can be calculated as follows:
- **Weight gain**: \(2.5 \text{ pounds/day} \times 365 \text{ days} = 912.5 \text{ pounds}\)
Adding this to the initial weight gives:
- **Final weight after one year**: \(282 \text{ pounds} + 912.5 \text{ pounds} \approx 1,195 \text{ pounds}\)
Now, looking at the options provided:
1. **The calf gains an average of 1,195 pounds over one year of life.**
- This is inaccurate; the calf gains 912.5 pounds, not 1,195 pounds.
2. **The calf gains 5 pounds every 2 days.**
- Yes, this is accurate because \(2.5 \text{ pounds/day} \times 2 \text{ days} = 5 \text{ pounds}\).
3. **The calf gains 737 pounds over 182 days.**
- This is not accurate; \(2.5 \text{ pounds/day} \times 182 \text{ days} = 455 \text{ pounds}\).
4. **The calf gains 365 pounds in 913 days.**
- This is also inaccurate; the gain over 913 days would be \(2.5 \text{ pounds/day} \times 913 \text{ days} = 2,282.5 \text{ pounds}\).
The interpretation of the slope that is accurate is:
**The calf gains 5 pounds every 2 days.**