Higher June 2025 Paper 6 Q23
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.

Not to scale
Find the value of \(a\) and the value of \(b\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(a\) = ] 98 [\(b\) =] 0.949[9…] or 0.95[0] | 3 | B1 for [\(a\) = ] 98 AND B2 for [\(b\) =] 0.949[9…] or 0.95[0] or M1 for \(84 = 98b^3\) or better or \(84 = ab^3\) | SC2 if correct answers transposed unless correctly identified in body |