3.40: Linear law: ln⁡y\ln y against xx for y=Aekxy=Ae^{kx}

0606/22/M/J/24 — Question 8 · 9 marks

(a)
An experiment gives
| xx | 1515 | 3030 | 4545 | 6060 | 7575 |
| yy | 1010 | 1313 | 2222 | 3535 | 5050 |
Modelled by y=Aekxy=Ae^{kx}. Draw a straight line graph for ln⁡y\ln y against xx.
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(b)
Find the equation of the line and hence find AA and kk correct to 11 significant figure.
[5]
(c)
Find the value of xx for which y=17y=17.
[2]