Question

if q is inversely propotional to p, and q= 120 when p=2, form an equation connecting p and q and calculate q when p=5

Answer 1

q = 108/p

Step-by-step 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 2

q = 48

Step-by-step explanation:

Given q is inversely proportional to p then the equation relating them is

q =
`(k)/(p)` ← k is the constant of proportion

To find k use the condition q = 120 when p = 2 , then

120 =
`(k)/(2)` ( multiply both sides by 2 )

240 = k

q =
`(240)/(p)` ← equation of proportion

When p = 5 , then

q =
`(240)/(5)` = 48