Answer:
C. y = 45.6 in
Explanation:
Given equation:
![y=(2)/(5)x-60](https://img.qammunity.org/2023/formulas/mathematics/college/bm3kxw46vkfyae83yuykkz9hpq8r9srcea.png)
where:
- y is the depth of the water (in inches).
- x is the distance a guest lands away from the far wall (in inches).
If a guest lands 36 inches from the wall, then x = 36.
Substitute x = 36 into the equation:
![\implies y=(2)/(5)(36)-60](https://img.qammunity.org/2023/formulas/mathematics/college/h5uc88kjtu0hdlsm27latoc7m35a7huqaf.png)
![\implies y=(2 \cdot 36)/(5)-60](https://img.qammunity.org/2023/formulas/mathematics/college/vnzw92b748rz7oymdwfztmbcy5ywgqg1e1.png)
![\implies y=(72)/(5)-60](https://img.qammunity.org/2023/formulas/mathematics/college/ejalpddzc0j8lx6bc7qprayn4uneb1ynju.png)
![\implies y=14.4-60](https://img.qammunity.org/2023/formulas/mathematics/college/5mnufslhonatc2wery9qzu6k85m8cujw67.png)
![\implies y=-45.6](https://img.qammunity.org/2023/formulas/mathematics/college/k0a1nhvskollj7hlumq604dhbzjvl8l7rd.png)
Therefore, the depth of the water is 45.6 inches (since -45.6 inches means it is that distance below the surface).