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 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.

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.

1 answer

To interpret the slope correctly, we need to analyze the initial information given: the elephant calf is born at 282 pounds and gains 2.5 pounds each day.

The slope of the graph represents the rate of weight gain per day. Since the calf gains 2.5 pounds a day, we can express this as the slope of the line as 2.5 pounds per day.

Now let's review the responses based on this analysis:

  1. The calf gains 5 pounds every 2 days.
    This is consistent with the daily gain; 2.5 pounds per day results in 5 pounds over 2 days (2.5 * 2 = 5). So, this interpretation is accurate.

  2. The calf gains 365 pounds in 913 days.
    This statement doesn't correctly reflect the calf's weight gain based on the rate provided, as 913 days is not relevant to the 1-year timeframe discussed.

  3. The calf gains an average of 1,195 pounds over one year of life.
    While the calf may weigh approximately 1,195 pounds after a year, this statement does not accurately reflect the change in weight over time.

  4. The calf gains 737 pounds over 182 days.
    If we take the rate of 2.5 pounds per day for 182 days, that would give 2.5 * 182 = 455 pounds, which does not match this statement.

Given this analysis, the most accurate interpretation of the slope provided in the responses is:

The calf gains 5 pounds every 2 days.