Edexcel P3 2023 January — Question 3

Exam BoardEdexcel
ModuleP3 (Pure Mathematics 3)
Year2023
SessionJanuary
TopicExponential Equations & Modelling

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5abaa077-1da4-4023-b442-194f6972095b-06_648_885_287_591} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} The line \(l\) in Figure 1 shows a linear relationship between \(\log _ { 10 } y\) and \(x\).
The line passes through the points \(( 0,1.5 )\) and \(( - 4.8,0 )\) as shown.
  1. Write down an equation for \(l\).
  2. Hence, or otherwise, express \(y\) in the form \(k b ^ { x }\), giving the values of the constants \(k\) and \(b\) to 3 significant figures.