O-LevelAdditional MathematicsStraight line graphs4037/21 · May/June 2020 · Q14 Marks
Variables x and y are such that, when √y is plotted against 1/x, a straight line graph passing through the points (0.5, 9) and (3, 34) is obtained. Find y as a function of x.
- Variables x and y are such that, when √y is plotted against 1/x, a straight line graph passing through the points (0.5, 9) and (3, 34) is obtained. Find y as a function of x.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [M1] Valid method to find m; m = (34-9)/(3-0.5) [=10] oe
- [M1] Valid method to find c, e.g. 34= their 10x3+c
- [M1] √y = (their10)/x + their4
- [A1] y = (10/x + 4)² oe, cao
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