Two variables satisfy y=Abx, where A,b0. Two pairs of values are (x,y)=(1,6) and (3,24). State suit

Question

Two variables satisfy y=Abx, where A,b>0. Two pairs of values are (x,y)=(1,6) and (3,24). State suitable transformed axes, calculate the gradient and vertical intercept of the resulting straight line, and hence find A and b. Show your logarithmic working.

Accepted Answer

Plot $\lg y$ against $x$; gradient $\lg2$, intercept $\lg3$; $A=3,\ b=2$.

Exponential models

Exponential models

Solution:

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