Question

If a is inversely proportional to b/2 and a = 1 when b = 10, then what is the value of a when b = 35? A1. 1/7 A2. 1/5 A3. 2/9 A4. 9/4 A5. 2/7

Answer 1

A5 .
`(2)/(7)`

Explanation:

Given in ques as a inversely proportion to b/2

it can be written as a∝
`(1)/(b/2)`

Now we put a proportionality constant (k) here

so, a=k
`(1x)/(b/2)`

or a=
`(k2)/(b)`

Now for a= 1 and b= 10

1=
`(2k)/(10)`

10= 2k

or,k=5

Now agin for b= 35 and take k value as 5, we get a value

a=
`(2*5)/(35)`

so, a=
`(2)/(7)` Answer