10 A student conducts an experiment and records the following data for two variables, \(x\) and \(y\).
| \(\boldsymbol { x }\) | 1 | 2 | 3 | 4 | 5 | 6 |
| \(y\) | 14 | 45 | 130 | 1100 | 1300 | 3400 |
| \(\log _ { 10 } y\) | | | | | | |
The student is told that the relationship between \(x\) and \(y\) can be modelled by an equation of the form \(y = k b ^ { x }\)
10
- Plot values of \(\log _ { 10 } y\) against \(x\) on the grid below.
[0pt]
[2 marks]
\includegraphics[max width=\textwidth, alt={}, center]{3176ee0c-fba2-4878-af3a-c3ac092bbc1f-10_1086_1205_1037_536}
10 - State, with a reason, which value of \(y\) is likely to have been recorded incorrectly.
[0pt]
[1 mark]
10 - By drawing an appropriate straight line, find the values of \(k\) and \(b\).
[0pt]
[4 marks]