Y varies inversely with x, when y is 48 when x is 1/3 .which equation represents this situation?

a) Y=16/x
b) Y=16x
c) Y=144x
d) Y= 144/x

Respuesta :

Answer:

A

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex]

To find k use the condition y = 48 when x = [tex]\frac{1}{3}[/tex], thus

k = yx = 48 × [tex]\frac{1}{3}[/tex] = 16

y = [tex]\frac{16}{x}[/tex] ← equation of variation