If R is inversely proportional to A, and R = 4 when A = 100, what is the value of R when A = 250 A : .625 B : 1.6 C : 10 D : 6,250

Question

asked Jul 17, 2022 27.1k views

1 Answer

Jspacek · Answer 1 · 2022-07-23T19:47:03+0000

Answer: (b)

Explanation:

Given

R is inversely proportional to A i.e

$R\propto (1)/(A)\\\\R=(C)/(A)\quad [\text{C=Constant}]$

when
$R=4,\ A=100$

Insert the values to get C

$\Rightarrow 4=(C)/(100)\\\\\Rightarrow C=400$

When A=250

$\Rightarrow R=(400)/(250)\\\\\Rightarrow R=1.6$

option (b) is correct