Problem preview

MF.GR.5 Challenge MF-044-A13-V04

Interpret rate of change informally as how much one quantity changes for each change in another.

Choose a smart way to compare rates of change

Problem

Line \(M\) passes through \((1,~14)\) and \((5,~6)\). Line \(N\) passes through \((0,~-3)\), \((2,~1)\), \((6,~9)\), and \((8,~13)\). Calculate \(\text{both}~\text{signed}~\text{unit}~\text{rates}\) and compare their signs.

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M = -8 y/x; N = +4 y/x; comparison = opposite signs

M = -1/2 y/x; N = +2 y/x; comparison = opposite signs

M = -2 y/x; N = +2 y/x; comparison = opposite signs

M = +2 y/x; N = +2 y/x; comparison = same

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Curriculum context

Course: Math Foundations
Standard: MF.GR.5
Category: Representations
Domain: Rate of Change
Objective: Interpret rate of change informally as how much one quantity changes for each change in another.
Problem type: Choose a smart way to compare rates of change