The rate of change of the horn length of a bighorn ram is given by f(a) centimet

Question

The rate of change of the horn length of a bighorn ram is given by f(a) centimeters per year, where a is the f(a) da- 56? age of the ram in years. Which of the following is a correct interpretation of the equation (a) When a bighorn ram is between 2 and 7 years old, its horns grow by 56 centimeters per year. b) When a bighorn ram is 56 years old, its horns are between 2 and 7 cm long. (c) The probability that a bighorn ram's horns are between 2 and 7 cm long is 56%. (d) The average rate of change of the horn length is 56 em per year, when a bighorn ram is between 2 and 7 years old. (e) Between the ages of 2 and 7 years, a bighorn ram's horns increase in length by 56 em.

Explanation / Answer

The correct answer must be Option E

Reason: Since the function f(a) represents the rate of change of f(a), which means rate of change of length of horn, if we integrate it over the period from 2 to 7, then it represents the change in length of horn from 2 years to 7 years, hence within this range the horn length has been increased by 56 cm

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