Problem preview

F-IF.9 Warmup M3-028-A11-V03

Compare functions represented algebraically, graphically, numerically, or verbally.

Decide whether two different representations show the same function

Problem

Do these representations describe the same function: the verbal description 'average cost is \(8\) plus fixed cost \(500\) spread over \(x\)' and the equation \(A(x)=8+500/x\)?

Answer choices

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No; they do not match because the verbal description means the whole quantity 8+500 is divided by x.

Yes; both representations describe a constant 8 plus the fixed cost 500 divided by x, so they match.

No; they do not match because average cost should be written as A(x)=8x+500, not 8+500/x.

No; they do not match because 500 spread over x means 500x, not 500 divided by x.

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Curriculum context

Course: Math III
Standard: F-IF.9
Category: Functions
Domain: Interpreting Functions
Objective: Compare functions represented algebraically, graphically, numerically, or verbally.
Problem type: Decide whether two different representations show the same function