Q:

Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the function H(m)=17.4m. However it is a sunny day, and water is also evaporating from the pool. Therefore,the volume ,V, in liters, of water in the pool m minutes after devorah started filling it is given by V(m)=17m.Let E be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it . Write a formula for E(m) in terms of H(m) and V(m)E(m)=___________And Write formula for E(m) in terms of m. E(m)=______________

Accepted Solution

A:
Given that Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the function H(m)=17.4m. However it is a sunny day, and water is also evaporating from the pool. Therefore,the volume ,V, in liters, of water in the pool m minutes after devorah started filling it is given by V(m)=17m.

Β  IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .

The formula for E(m) in terms of H(m) and V(m) is given by

E(m) = H(m) - V(m)

And

The formula for E(m) in terms of m is given by

E(m) = 17.4m - 17m = 0.4m