Answer:
q = 108/p
Explanation:
the initial statement is q ∝ 1 /p
to convert to an equation multiply by k the constant of variation
⇒ q = k × 1 /p = k /p
to find k use the given condition
q = k/ p
⇒ k = q/ p = 3 /2 × 72 = 108
equation is q = 108/ p
Answer:
q = 48
Step-by-step explanation:
Given q is inversely proportional to p then the equation relating them is
q = [tex]\frac{k}{p}[/tex] ← k is the constant of proportion
To find k use the condition q = 120 when p = 2 , then
120 = [tex]\frac{k}{2}[/tex] ( multiply both sides by 2 )
240 = k
q = [tex]\frac{240}{p}[/tex] ← equation of proportion
When p = 5 , then
q = [tex]\frac{240}{5}[/tex] = 48
