Question

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

Answer 1

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

`y=kx`

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

`\begin{gathered} 45=k\cdot40 \\ (45)/(40)=k \\ k=(9)/(8) \end{gathered}`

the equation that relates x and y is:

`y=(9)/(8)x`