Question

Hello I need help on #4 It’s my hw assignment

Answer 1

Given,

z is directly proportional to the product of x and y.

The value of z is 15 when x is 5 an y is 6.

According to the question,

`\begin{gathered} z\propto x* y \\ z=\text{kxy} \end{gathered}`

Here, k is proportionality constant.

Substituting the value of x, y and z then,

`\begin{gathered} 15=k*5*6 \\ 15=30k \\ k=(1)/(2) \end{gathered}`

Susbtituting the value of k in the above expression then,

`z=(1)/(2)xy`

Hence, the equation that shows the relation of x, y and z is z=1/2xy.