Problem preview

F-IF.6 Warmup M2-020-A06-V03

Calculate, estimate, and interpret average rate of change for quadratic functions.

Interpret a contextual average rate

Problem

Profit changes from $\$100$ to $\$40$ while quantity increases from $10$ to $20~\text{items}$. Compute the signed average rate of profit change per item and interpret $\text{both}$ its negative sign and magnitude in a sentence.

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(40−100)/(20−10)=−6; profit increases by $6 per additional item.

(40−100)/(20−10)=−60/10=−6; profit decreases by $6 per additional item.

(20−10)/(40−100)=10/(−60)=−1/6; quantity decreases by 1/6 item per profit dollar.

(100−40)/(20−10)=60/10=6; profit increases by $6 per additional item.

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Curriculum context

Course: Math II
Standard: F-IF.6
Category: Functions
Domain: Interpreting Functions
Objective: Calculate, estimate, and interpret average rate of change for quadratic functions.
Problem type: Interpret a contextual average rate