Question

Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.

Answer 1

Answer:$p$ =$4 when $q=49$.

Explanation:

If $p$ and $q$ are inversely proportional, then mathematically, they are represented as

$p$ ∝ 1/$q$

So that introducing the constant of proportionality,k becomes

$p$ =k 1/$q$

$p$ =k /$q$

When $p=28$ when $q=7$,K becomes

$p$ =k /$q$

$28=K/ $7

k=$28 x $7 =$196

Now when $q=49$., $p$ becomes?

$p$ =k /$q$

$p$ =$196/49$

$p$ =$4