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?

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

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

\(y(x) = 600 - 50x\)

\(y(x) = 39.37x\)

\(y(x) = 4.9x^2\)

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

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

\(y(x) = 70x + 31000\)