Problem preview

F-IF.7.a Warmup M2-021-A12-V03

Graph linear and quadratic functions and identify intercepts, maxima, and minima.

Interpret an x-intercept, y-intercept, maximum, or minimum of a linear or quadratic graph in context

Problem

The graph shows cost $C$ in dollars versus number of items $x$ and marks the $y\text{-}\text{intercept}$ $(0,100)$. Interpret $\text{both}~\text{coordinates}$ with units, explain why $x=0$ makes this an initial or fixed cost rather than a per-item rate, and state the contextual meaning.

Answer choices

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The cost is $0 when 100 items are produced.

The greatest possible cost is $100.

The cost increases by $100 for each item produced.

The cost is $100 when 0 items are produced, so $100 is the fixed cost.

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Curriculum context

Course: Math II
Standard: F-IF.7.a
Category: Functions
Domain: Interpreting Functions
Objective: Graph linear and quadratic functions and identify intercepts, maxima, and minima.
Problem type: Interpret an x-intercept, y-intercept, maximum, or minimum of a linear or quadratic graph in context