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Course: Algebra (all content) > Unit 7

Lesson 18: Modeling situations by combining and composing functions (Algebra 2 level)
Math
Algebra (all content)
Functions
Modeling situations by combining and composing functions (Algebra 2 level)
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Model with function combination

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Problem

A partially filled pool has 10,000 liters of water in it when Finn begins to fill it with a hose on a hot, sunny day. The volume, V, in liters, of water coming out of the hose in m minutes is given by the function V(m)=20m, and the volume, E, in liters, of water evaporating in m minutes is given by the function E(m)=0.1m.
Let P be the total volume, in liters, of the water in the pool m minutes since Finn started filling it.
Write a formula for P(m) in terms of V(m) and E(m).
P(m)=
Write a formula for P(m) in terms of m.
P(m)=