If p is directly proportional to q and is p = 7 when q = 6, then what is the value of p when q = 21?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 24.5.
p is directly proportional to q, so p = k × q
When q = 6, p = 7 → 7 = k × 6 → k = 7 ÷ 6 = 7/6
Now, when q = 21:
p = (7/6) × 21 = (7 × 21) ÷ 6 = 147 ÷ 6 = 24.5