If y varies inversely as x and y = 41 when x = 28, find y if x = 27. (Round off your answer to the nearest hundredth.)Answer How to enter your answer (Opens in new window) 6 Pointsy = 0y

If y varies inversely as x and y 41 when x 28 find y if x 27 Round off your answer to the nearest hundredthAnswer How to enter your answer Opens in new window 6 class=

Respuesta :

When y varies inversely as x:

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

y= 41 when x=28; uses the given data to find k:

[tex]\begin{gathered} 41=\frac{k}{28} \\ \\ k=41*28 \\ \\ k=1148 \end{gathered}[/tex]

Use the next formula to the given variation:

[tex]y=\frac{1148}{x}[/tex]

Find y if x=27:

[tex]\begin{gathered} y=\frac{1148}{27} \\ \\ y=42.52 \end{gathered}[/tex]Answer: y=42.52