| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2015 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | ln(y) vs ln(x) linear graph |
| Difficulty | Moderate -0.8 This is a straightforward application of finding a linear equation from two points, then converting back using log laws. The steps are routine: find gradient (8-2)/(2-0)=3, write y=mx+c form, then use log laws to get y=ax^n. No problem-solving insight required, just mechanical application of standard techniques taught explicitly in C2. |
| Spec | 1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.06h Logarithmic graphs: reduce y=ax^n and y=kb^x to linear form |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | 1.56 | 8 |
I appreciate your request, but the content you've provided appears to be incomplete or unclear. It shows:
```
Question 8:
8 | 1.56 | 8 | – 0.76
```
This doesn't contain any marking scheme annotations (M1, A1, B1, etc.) or substantive content to clean up and convert to LaTeX notation.
Could you please provide the full mark scheme content for Question 8? I need the actual marking points, criteria, and any notes to properly format them.8 Fig. 8 shows the graph of $\log _ { 10 } y$ against $\log _ { 10 } x$. It is a straight line passing through the points $( 2,8 )$ and $( 0,2 )$.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{5c7ac296-a911-451b-ad18-5ade3ac23e74-2_460_634_1868_717}
\captionsetup{labelformat=empty}
\caption{Fig. 8}
\end{center}
\end{figure}
Find the equation relating $\log _ { 10 } y$ and $\log _ { 10 } x$ and hence find the equation relating $y$ and $x$.
\hfill \mbox{\textit{OCR MEI C2 2015 Q8 [4]}}