February/March 2026 Paper 22

2026 · 8 questions · 14 parts · 50 marks

0/50 marks

0Correct0Partial0Wrong14Unattempted

Filters0 active

Questions

Select a part to jump to its question

–/3 mks

–/6 mks

–/5 mks

–/6 mks

–/6 mks

–/6 mks

–/10 mks

–/8 mks

3Reduction Linear FormHard5 marks

Graph of $\ln y$ against $\sqrt{x}$, a straight line rising from lower left to upper right, passing through the labelled points $(1.5, 2.83)$ and $(3.2, 4.87)$, with the origin marked $O$

The variables

x

and

y

satisfy the equation

y = k e^{a x}

, where

k

and

a

are positive constants. The graph of

ln y

against

x

is a straight line passing through the points

(1.5, 2.83)

and

(3.2, 4.87)

, as shown in the diagram. Find the values of

k

and

a

correct to 1 decimal place.

a =

k =