Higher June 2025 Paper 6 Q23

OCRHigherCurrent spec3 marksDrawing & Using GraphsSubstitution

23 A pot of tea is made using boiling water and left to cool.
The temperature, \(T\) °C, of the pot of tea after \(n\) minutes is given by the formula

\(T = ab^n\).

The graph shows some information about the temperature of the pot of tea.

Graph of temperature T °C against time n minutes: a decreasing curve starting at 98 on the T-axis and passing through the point (3, 84)

Not to scale

Find the value of \(a\) and the value of \(b\). [3]