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 737 pounds over 182 days. The calf gains 737 pounds over 182 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 5 pounds every 2 days. The calf gains 5 pounds every 2 days. The calf gains 365 pounds in 913 days.

1 answer

To analyze the slope and the weight gain of the elephant calf, we need to break down the information given:

  1. The calf is born weighing 282 pounds.
  2. It gains about 2.5 pounds each day.
  3. After one year (365 days), it weighs approximately 1,195 pounds.

Given that the calf gains 2.5 pounds daily, the total weight gain over one year can be calculated:

Weight gain in one year = Daily gain × Number of days = 2.5 pounds/day × 365 days = 912.5 pounds

Adding the initial weight gives us: Initial weight + Total weight gain = Final weight 282 pounds + 912.5 pounds = 1,194.5 pounds (approximately 1,195 pounds as stated).

Now, let's evaluate the slope interpretations from the options provided:

  1. The calf gains 737 pounds over 182 days.

    • This is not correct since 182 days would be around half a year, and with daily gains of 2.5 pounds, the gain over that period would be 182 × 2.5 = 455 pounds.
  2. The calf gains an average of 1,195 pounds over one year of life.

    • This statement is misleading because it implies the total weight at the end of the year. The gain is actually the difference from the initial weight, not the total.
  3. The calf gains 5 pounds every 2 days.

    • This is accurate, as if the calf gains 2.5 pounds per day, then over 2 days it would gain 2.5 × 2 = 5 pounds.
  4. The calf gains 365 pounds in 913 days.

    • This is incorrect, as the weight gain per day over that period leads to a much larger total weight gain than 365 pounds.

Based on this breakdown, the correct interpretation of the slope is:

The calf gains 5 pounds every 2 days.