3.59: Linear law: lny\ln y against lnx\ln x for y=Axby=Ax^{b}

0606/11/O/N/23 — Question 4 · 9 marks

3.59 diagram
(a)
The table shows xx and yy related by y=Axby=Ax^{b}.
| xx | 11 | 22 | 33 | 44 | 55 |
| yy | 2020 | 5757 | 104104 | 160160 | 224224 |
Draw a straight line graph of lny\ln y against lnx\ln x.
[3]
(b)
Estimate AA and bb correct to 22 significant figures.
[4]
(c)
Estimate yy when x=3.5x=3.5.
[2]