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Suppose that y is inversely proportional to x. Find the constant of proportionality k if y = 18 when x = 9. k= Using the k from above write the variation equation in terms of x. y = Using the k from above find y given that x = 40. y = If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity

Suppose that y is inversely proportional to x Find the constant of proportionality k if y 18 when x 9 k Using the k from above write the variation equation in t class=

Respuesta :

Given that y is inversely proportional to x, then they satisfy the following equation:

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

where k is the constant of proportionality.

Substituting with y = 18 and x = 9, we get:

[tex]\begin{gathered} 18=\frac{k}{9} \\ 18\cdot9=k \\ 162=k \end{gathered}[/tex]

Therefore, the variation equation in terms of x is:

[tex]y=\frac{162}{x}[/tex]

Substituting with x = 40, the value of y is:

[tex]\begin{gathered} y=\frac{162}{40} \\ y=4.05 \end{gathered}[/tex]

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