3.85: Exponential model from a straight-line graph

0606/12/M/J/25 — Question 6 · 6 marks

(a)
When lny\ln y is plotted against x3x^{3}, a straight line through (2,5)(2,5) and (8,25)(-8,25) is obtained. Find yy in terms of xx.
[4]
(b)
Find xx when y=e25y=\mathrm{e}^{25}.
[2]