Food for thought

## Equations

Below is a possible equation for each process/graph pair (but they’re muddled up). Can you match an equation to each process/graph?

Can you explain the numbers in these equations? They are all chosen to be physically sensible given suitable units. What might the units be for each process/graph/equation?

$y(x) = 0.325\left(\sin(3.1x) + 1\right)$

$y(x) = 10x - 4.9x^2 + 1$

$y(x) = 600 - 50x$

$y(x) = 39.37x$

$y(x) = 4.9x^2$

$y(x) = 0.6204\sqrt[3]{x}$

$y(x) = 20 + 80e^{-0.05x}$

$y(x) = 70x + 31000$