dellison6572 dellison6572
  • 25-05-2021
  • Mathematics
contestada

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

Respuesta :

nuuk nuuk
  • 27-05-2021

Answer: (b)

Step-by-step explanation:

Given

R is inversely proportional to A i.e

[tex]R\propto \dfrac{1}{A}\\\\R=\dfrac{C}{A}\quad [\text{C=Constant}][/tex]

when [tex]R=4,\ A=100[/tex]

Insert the values to get C

[tex]\Rightarrow 4=\dfrac{C}{100}\\\\\Rightarrow C=400[/tex]

When A=250

[tex]\Rightarrow R=\dfrac{400}{250}\\\\\Rightarrow R=1.6[/tex]

option (b) is correct

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