Moderate -0.8 This is a straightforward logarithm question testing understanding of log laws to linearize a power relationship. It requires taking logs of both sides and recognizing y=mx+c form, but involves only routine algebraic manipulation with no problem-solving or novel insight required.
Two quantities are related by the equation \(Q = 1.25P^3\). Explain why the graph of \(\log_{10} Q\) against \(\log_{10} P\) is a straight line. State the gradient of the straight line and the intercept on the \(\log_{10} Q\) axis of the graph. [4]
Two quantities are related by the equation $Q = 1.25P^3$. Explain why the graph of $\log_{10} Q$ against $\log_{10} P$ is a straight line. State the gradient of the straight line and the intercept on the $\log_{10} Q$ axis of the graph. [4]
\hfill \mbox{\textit{WJEC Unit 1 2019 Q11 [4]}}