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)=17.4 m. 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)=17 m. 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)= Write a formula for E(m) in terms of m. E(m)=

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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)=17.4 m. 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)=17 m. 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)= Write a formula for  E(m) in terms of  m.  E(m)=

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Problem Understanding: Let's first understand the problem. Devorah is filling a pool with water from a hose, and the volume of water coming out of the hose is given by H(m) = 17.4m. At the same time, water is evaporating from the pool, and the actual volume of water in the pool after m minutes is given by V(m) = 17m. We need to find the volume of water that has evaporated, which we'll call E(m).Formula for E(m): To find the formula for E(m) in terms of H(m) and V(m), we need to consider that the total water added to the pool is H(m), and the actual volume in the pool is V(m). The difference between these two amounts will be the volume that has evaporated, E(m). So, we can write the formula for E(m) as E(m) = H(m) - V(m).Substituting Given Functions: Now let's substitute the given functions for H(m) and V(m) into the formula for E(m). We have H(m) = 17.4m and V(m) = 17m. So, E(m) = 17.4m - 17m.Simplifying the Expression: Next, we simplify the expression for E(m) by combining like terms. E(m) = 17.4m - 17m = 0.4m.

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