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

Respuesta :

Answer:

A5 .  [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Given in ques as a inversely proportion to b/2

it can be written as a∝[tex]\frac{1}{b/2}[/tex]

Now we put a proportionality constant (k) here

so, a=k[tex]\frac{1x}{b/2}[/tex]

or  a=[tex]\frac{k2}{b}[/tex]

    Now for a= 1   and b= 10

1= [tex]\frac{2k}{10}[/tex]

10= 2k

or,k=5

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

a=[tex]\frac{2*5}{35}[/tex]

so, a=[tex]\frac{2}{7}[/tex]    Answer