A second line for an exponential equation

A second line for an exponential equation

Secondary 3
8 marks
TGM Original Questions

The values below are modelled by \(y=Ab^x\), where \(A,b>0\).

\(x\)01234
\(y\)1015.8525.1239.8163.1
  1. On separate graph paper, plot \(\lg y\) against \(x\). Estimate \(A\) and \(b\).[4]
  2. By drawing another straight line on the same axes, estimate the solution of \((10b)^x=1000/A\). State the equation of the line you add.[4]

Solution:

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Answer:(a) \(A\approx10,\ b\approx1.58\). (b) Draw \(Y=3-x\); \(x\approx1.67\).

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