Number 6
3 marks · NormalThe cost C of hiring a bike is directly proportional to the number of hours h used. A student pays $12 for 3 hours. Complete the table below and write the formula connecting C and h.
| h (hours) | 2 | 3 | 5 | 6 |
|---|---|---|---|---|
| C ($) | 12 |
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Must show: C for 2, 5, 6 hours; formula
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Identifies k = 4 using C = kh.
A1 · 1 mark · Fills C for 2 (8), 5 (20), 6 (24).
A2 · 1 mark · Writes correct formula C = 4h.
Worked solution
C = kh. For 3 hours, 12 = k×3 → k = 4.
So, for h = 2: C = 4×2 = $8; h=5: C = 4×5 = $20; h=6: C = 4×6 = $24.
Formula is C = 4h.