Back to Combine function types — Problem 4 · Task Set 31

HSF.BF.A.1.b Tutor Intake — Combining Functions with Arithmetic Operations

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Grade 9·12 problems·~12 min·Common Core Math - HS Functions·standard·hsf-bf-a-1b

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Concepts

A store's revenue function is $R(x) = 50x$ and its cost function is
$C(x) = 1000 + 20x$ , where $x$ is the number of items sold. Which
function gives the store's profit?

$P(x) = 50x + (1000 + 20x) = 70x + 1000$

$P(x) = 50x \cdot (1000 + 20x)$

$P(x) = 50x - (1000 + 20x) = 30x - 1000$

$P(x) = (1000 + 20x) - 50x = -30x + 1000$