Variables $x$ and $y$ are related by the equation of the form $y = 10^{a(x+b)}$, where $a$ a

Question

Variables $x$ and $y$ are related by the equation of the form $y = 10^{a(x+b)}$, where $a$ and $b$ are constants. When $\lg y$ is plotted against $x$, a straight line which passes through the point $(1, -2)$ and $(5, 4)$ is obtained. Find the value of $a$ and of $b$. Hence, find the value of $\lg y^{(2x)}$ when $x = 3$.

Accepted Answer

a=3/2, b=-7/3; when x=3, lg(y^{2x})=6.

Linear Law - Predictions from Linearised Models

Linear Law - Predictions from Linearised Models

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