Problem preview
F-BF.1.a Warmup M1-015-A14-V01

Build a function from context by determining an explicit formula, recursive rule, or calculation process.

Build a context function and evaluate it at a given input

Problem

A taxi ride costs \(\$4\) plus \(\$3~\text{per}~\text{mile}\). Write the cost function \(C(m)\) and evaluate \(C(8)\).

Big Picture

What this problem is really about

Build the general cost model before evaluating the requested trip. We’ll define mileage as the input, keep the one-time fee as a constant, and multiply only the per-mile rate by the distance. After the rule is structurally correct, substitution and unit tracking produce a fare that can be checked against the fixed-plus-variable context.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-BF.1.a
Category
Functions
Domain
Building Functions
Objective
Build a function from context by determining an explicit formula, recursive rule, or calculation process.
Problem type
Build a context function and evaluate it at a given input