Answer:
![V(m) = (2 + 5m)^3](https://tex.z-dn.net/?f=V%28m%29%20%3D%20%282%20%2B%205m%29%5E3)
Step-by-step explanation:
Given
Solid Shape = Cube
Edge = 2 feet
Increment = 5 feet per minute
Required
Determine volume as a function of minute
From the question, we have that the edge of the cube increases in a minute by 5 feet
<em>This implies that,the edge will increase by 5m feet in m minutes;</em>
Hence,
![New\ Edge = 2 + 5m](https://tex.z-dn.net/?f=New%5C%20Edge%20%3D%202%20%2B%205m)
Volume of a cube is calculated as thus;
![Volume = Edge^3](https://tex.z-dn.net/?f=Volume%20%3D%20Edge%5E3)
Substitute 2 + 5m for Edge
![Volume = (2 + 5m)^3](https://tex.z-dn.net/?f=Volume%20%3D%20%282%20%2B%205m%29%5E3)
Represent Volume as a function of m
![V(m) = (2 + 5m)^3](https://tex.z-dn.net/?f=V%28m%29%20%3D%20%282%20%2B%205m%29%5E3)