May/June 2026 Paper 22

2026 · 8 questions · 12 parts · 50 marks

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3Reduction Linear FormHard5 marks

Graph of $\ln y$ against $x$, a straight line rising from lower left to upper right, passing through the labelled points $(1.5, 3.22)$ and $(4.0, 4.69)$, with the origin marked $O$

The variables

x

and

y

satisfy the equation

y = k a^{x + 2}

, where

k

and

a

are positive constants. The graph of

ln y

against

x

is a straight line passing through the points

(1.5, 3.22)

and

(4.0, 4.69)

, as shown in the diagram. Find the values of

k

and

a

correct to 2 significant figures.

a =

k =