![\large\textsf{\textbf{Answer\::}}](https://img.qammunity.org/2023/formulas/mathematics/college/gr0am0e046kdl5y6ioslgv4m8nset0wgb7.png)
Please consult the "calculations" section of this ans .
![\large\textsf{\textbf{Calculations\::}}](https://img.qammunity.org/2023/formulas/mathematics/college/672nqglbn0an0s4rp8ox7yz1mstt47qdsg.png)
If y varies directly with x , the equation looks like this :
y=kx , where k is the constant of proportionality
Plug in the values :
8=k/12
Multiply times 12 on both sides :
96=k
So the constant of proportionality is 96 .
Now solve for y when x is 18 as follows :
y=96/18
y≈5.33
![\footnotesize\texttt{hope\:helpful~}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fk19ke8t6kq4zh2dctjfb0b4wvb0mtscdm.png)