23.03.2023 - 11:36

A baby elephant weighs 200 pounds at birth. Seven years later, the elephant’s weight is 3,000 pounds. What is the rate of change of the weight of the elephant?

A baby elephant weighs {eq}200 {/eq} pounds at birth. Seven years later, the elephant’s weight is {eq}3,000 {/eq} pounds. What is the rate of change of the weight of the elephant?

Answers (1)
  • AlenkaBAR
    April 3, 2023 в 17:41

    To find the rate of change of the weight of the elephant, we need to calculate the average rate of change over the given time period, which is 7 years.

    The weight of the elephant has increased from 200 pounds to 3,000 pounds over 7 years, which means that the weight has changed by:

    Change in weight = Final weight - Initial weight Change in weight = 3,000 pounds - 200 pounds Change in weight = 2,800 pounds

    The average rate of change of weight can be calculated by dividing the change in weight by the time interval:

    Average rate of change of weight = Change in weight ÷ Time interval Average rate of change of weight = 2,800 pounds ÷ 7 years Average rate of change of weight = 400 pounds per year

    Therefore, the rate of change of the weight of the elephant is 400 pounds per year. This means that the weight of the elephant has been increasing by an average of 400 pounds each year over the 7-year period.

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