Double or Half?

An Advanced Mathematics Lesson Starter Of The Day

Philip and Tellum both have online video channels.

Philip currently has many followers and the number of followers is increasing at the rate of 10% a day.

Tellum currently has a similar number of followers but the number is decreasing at the rate of 10% a day.

Will Philip's number of followers have doubled on the same day as Tellum's have halved?

Explain the details of this situation.


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    Answer

    The doubling and halving do not happen after an exact number of days so assuming we can work to three significant figures Philip's number of followers will double after 8.27 days while Tellum's will have halved after 7.58 days.

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