Problem preview
F-IF.2 Warmup M1-020-A09-V01

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

Interpret input and output units in function notation

Problem

\(C(n)\) is the total cost in dollars for \(n\) tickets, and \(C(4)~=~28\). Identify the input and output roles with units, then state the ordered pair.

Big Picture

What this problem is really about

Use the function’s definition to attach a quantity and unit to each side of the mapping. The value inside parentheses inherits the input variable’s unit, while the function value inherits the output quantity’s unit. We’ll then write the contextual ordered pair with the input first and distinguish a total amount from any per-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 input and output units in function notation