Problem preview
F-IF.1 Warmup M1-019-A05-V01

Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).

Identify input and output quantities in a context

Problem

In the context total cost depends on number of tickets bought, identify the input and output quantities.

Big Picture

What this problem is really about

Turn the phrase “depends on” into a one-way arrow between the two quantities. The quantity supplied or controlled first is the input, and the quantity determined in response is the output. We’ll confirm the direction by asking which known value lets us calculate the other, then attach the proper units.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.1
Category
Functions
Domain
Interpreting Functions
Objective
Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Problem type
Identify input and output quantities in a context