Problem preview
F-IF.2 Warmup M1-020-A04-V01

Use function notation, evaluate functions on their domains, and interpret notation in context.

Interpret function notation in context

Problem

\(C(n)\) is the total cost in dollars for \(n\) tickets, and \(C(5)~=~35\). Identify the input and output, then interpret the statement in context.

Big Picture

What this problem is really about

Replace the abstract notation with the quantities named in the context. The number inside the parentheses is an input with its own units, and the value of the function is the corresponding output with different units. Reading the statement as a complete input-to-output sentence prevents reversing the quantities or mistaking a total for a unit rate.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.2
Category
Functions
Domain
Interpreting Functions
Objective
Use function notation, evaluate functions on their domains, and interpret notation in context.
Problem type
Interpret function notation in context