Higher November 2022 Paper 5 Q14
14 The number of bees, \(P\), in a colony is given by the formula
\[P = ab^x\]where \(x\) is the number of months after the start of July.
At the start of July, there were 25 000 bees in the colony.
After one month, there were 23 500 bees in the colony.
Find the value of \(a\) and the value of \(b\).
Give the value of \(b\) as a decimal. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(a\) = ] 25 000 [\(b\) = ] [0].94 | 4 | B1 for 25 000 AND B3 for 0.94 oe or B2 for \(\frac{23500}{25000}\) or 94% oe or \(\frac{25000 - 23500}{25000}\) or 0.06 oe or M1 for 23500 = \(ab^{[1]}\) or 23500 = \(25000b^{[1]}\) | |