Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
bioNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of the biological sciences,
designed to help develop the mathematics required to get the most
from your study of biology at A-level and university.
Can you fill in the mixed up numbers in this dilution calculation?
There are three parts to this question, which require increasing amounts of thought. However, all are based on the standard mathematics of dilutions.
I mix a dilution with a concentration $c_A$ in the first beaker and a smaller concentration $c_B$ in the second beaker. I pour some liquid (unmeasured amounts) from beakers A and B into beaker C to make a new dilution with concentration $c_C$. Use common sense to understand and algebra to prove that $$c_A> c_C> c_B$$
On a scrap of paper I found this method for making a 1/13 dilution using the above configuration of beakers: