Problem of the Week 2019-2

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These problems are for the class sessions on January 18, 2019. As always, you can use any strategy you want to as you try them out before class.

In case you haven\’t heard already or it\’s slipped your mind, our schedule will change the week after this (January 25, 2019). This week is still on the original schedule, however.

Elementary

A farmer says that her farm is home to about 5,500 rabbits, and that their population has been doubling every year since seven years ago when some got loose from a neighboring farmer who raises rabbits.

How many rabbits got loose seven years ago?

How many rabbits will there be next year?

(credit: based loosely on https://nzmaths.co.nz/resource/rabbits)

High School

The zeros of the polynomial p(x) = x3 – 33x2 + 354x + k are in arithmetic progression. What is the value of k?

(credit: original source unknown, found at https://www.theproblemsite.com/problems/high-school-math/2007/polynomial-madness)

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