Mathematics in Science

We dissolve 20 g of sugar in 180 g of water, obtaining a solution of concentration 10 %. If we leave the glass in the sun and exactly half of the water evaporates (i.e. only 90 g of water remains in the glass), what will be the new percentage concentration of the solution obtained?

A bacterium in a laboratory culture divides into two identical bacteria every 20 minutes. The population growth follows the exponential function f(x) =, where x is the number of division cycles. How many bacteria will there be in total after exactly 2 hours (which means x = 6 division cycles)?

As part of a lab project to study energy, you are analyzing the kinetic energy of a moving body. The formula is . If we look at this relationship between energy () and velocity (v), what type of mathematical function describes the graph of this motion?