Question

Consider the age of the oldest living person, keeping in mind that this person regularly changes as time passes (since previous oldest living persons eventually pass away). Let y = f(t), where y is the age of the oldest living person, measured in years, and t is time, measured in years since the year 1950. Is this function continuous or not? Justify your answer.

Answer 1

The function is not continuous

Explanation:

Since the oldest living person keeps changing as time passes, due to death, so,

e.g, if the current oldest living per is for example, 100.51 years,

then when they die, the function will have the age of the next oldest for example, they have an age of 99.54 years.

Hence there is a jump in the function.(e.g. from 100.51 to 99.54)

So, The function is not continuous due to jumps of these kinds when we shift from one oldest, then they die, to the next oldest