The variables x and y vary directly. Use the values to find the constant of proportionality, k Then write an equation that relates x and y. Write any tractions in simplest form. y = 45; x = 40

Respuesta :

According to the statementx and y are varying directly, this can be understood by the following equation:

[tex]y=kx[/tex]

to find the value of k, the constant of proportionality, we use the given information y=45 and x=40:

[tex]\begin{gathered} 45=k\cdot40 \\ \frac{45}{40}=k \\ k=\frac{9}{8} \end{gathered}[/tex]

the equation that relates x and y is:

[tex]y=\frac{9}{8}x[/tex]