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?

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

\(y(x) = 500 \times 2^{-0.6667x}\)

\(y(x) = 1 - 0.01671\cos(0.0172x)\)

\(y(x) = 12 + 10\sin(0.121x)\)

\(y(x) = 5\cos(3.13x) e^{-0.05x}\)

\(y(x) = \dfrac{11.3x}{2.1 + x}\)

\(y(x) = 10 \times 2^{4x}\)

\(y(x) = \dfrac{1000000}{10 + (100000 - 10)2^{-4x}}\)

\(y(x) = \dfrac{22.4133}{x}\)