O-LevelAdditional MathematicsLogarithmic and exponential functions4037/11 · Oct/Nov 2011 · Q35 Marks
Variables t and N are such that when lgN is plotted against lgt, a straight line graph passing through the points (0.45, 1.2) and (1, 3.4) is obtained. [Figure 3.1]
- (i)Express the equation of the straight line graph in the form lgN = m lgt + lgc, where m and c are constants to be found.[4]
- (ii)Hence express N in terms of t.[1]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [1] (i) Gradient m = 4
- [1] (i) lg c = -0.6
- [1] (i) M1 for attempt to deal with lgc
- [1] (i) c = 0.251
- [1] (ii) N = 0.251t^4
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