O-LevelAdditional MathematicsLogarithmic and exponential functions4037/21 · May/June 2023 · Q14 Marks
Variables x and y are such that when lgy is plotted against √x a straight line passing through the points (1, 5) and (2.5, 8) is obtained. Show that y = A×b√x where A and b are constants to be found.
- Variables x and y are such that when lgy is plotted against √x a straight line passing through the points (1, 5) and (2.5, 8) is obtained. Show that y = A×b√x where A and b are constants to be found.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [B2] lg y = 2√x + 3 OR lgb = 2 and lgA = 3
- [M1] FT their m and c
- [A1] y = 10³ ×100^√x oe mark final answer
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