Interactive practice questions
The local rodent population, numbering approximately $840$840, is decreasing at a rate of $4%$4% per year.
Write an expression for $y$y to represent the population after $m$m years.
Find the size of the population after $8$8 years, giving your answer to the nearest whole number.
Two people are asked to eat the same food and in equal quantity. They were chosen such that Person A incorporates lots of sugar into their diet while person B consumes limited amounts of sugar in their diet.
After eating, their blood sugar level (amount of sugar in the bloodstream) peaked, and was then continually measured, with the following functions modelling their blood sugar over time:
Switzerland’s population in the next $10$10 years is expected to grow approximately according to the model $P=8\left(1+r\right)^t$P=8(1+r)t, where $P$P represents the population (in millions) $t$t years from now.
The world population in the next $10$10 years is expected to grow approximately according to the model $Q=7130\left(1.0133\right)^t$Q=7130(1.0133)t, where $Q$Q represents the world population (in millions) $t$t years from now.
$1$1 gram of sugar is poured into a cup of water and immediately begins to dissolve.
Each second the amount of sugar remaining is $\frac{1}{4}$14 of the amount present in the previous second.