Ask a New Question
Menu

Question

Use the image to answer the 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 737 pounds over 182 days.
The calf gains 737 pounds over 182 days.

The calf gains 5 pounds every 2 days.
The calf gains 5 pounds every 2 days.

The calf gains 365 pounds in 913 days.
The calf gains 365 pounds in 913 days.
Skip to navigation

1 answer

To interpret the slope of the line that represents the weight gain of the elephant calf over time, we can analyze the information given:

  • The calf starts at 282 pounds and gains approximately 2.5 pounds per day.
  • After one year (365 days), the calf weighs about 1,195 pounds.

From this, we can calculate the total weight gain over the first year:

1,195 pounds (weight after one year) - 282 pounds (initial weight) = 913 pounds gained in one year.

If the slope of the line represents the average weight gain per day, we can compute it as follows:

Total weight gain in one year = 913 pounds Number of days = 365 days

To find the average weight gain per day, we divide:

913 pounds / 365 days ≈ 2.5 pounds per day.

Now, let's evaluate the answer choices based on this understanding:

  1. The calf gains an average of 1,195 pounds over one year of life. (Incorrect)
  2. The calf gains 737 pounds over 182 days. (Incorrect)
  3. The calf gains 5 pounds every 2 days. (Incorrect)
  4. The calf gains 365 pounds in 913 days. (Incorrect)

None of the provided interpretations accurately reflect the slope of the calf's weight gain over time.

The correct interpretation of the slope would be that the calf gains 2.5 pounds per day. If there's an option related to this, that would be the correct choice.