Problem preview

MF.GR.8 Standard MF-047-A06-V03

Distinguish proportional relationships from linear but non-proportional relationships.

Model a story, then test proportionality

Problem

A submarine starts \(5~\text{meters}\) below sea level and moves downward \(3~\text{meters}~\text{per}~\text{minute}\). Build a table of positive depth values at \(0,~2,~4,~6~\text{minutes}\) and classify the relationship as proportional or non-proportional.

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Time (min) | Depth below sea level (m) 0 | 5 2 | 11 4 | 17 6 | 23 Proportional

Time (min) | Depth below sea level (m) 0 | 0 2 | 6 4 | 12 6 | 18 Proportional

Time (min) | Depth below sea level (m) 0 | 5 2 | 11 4 | 17 6 | 23 Non-proportional

Time (min) | Depth below sea level (m) 0 | -5 2 | -11 4 | -17 6 | -23 Non-proportional

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Curriculum context

Course: Math Foundations
Standard: MF.GR.8
Category: Representations
Domain: Linear Contexts
Objective: Distinguish proportional relationships from linear but non-proportional relationships.
Problem type: Model a story, then test proportionality