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MF.GR.5 Challenge MF-044-A12-V04

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

Match the same rate across different forms

Problem

The target rate is \(-3\) in \(y\) for each \(+1\) in \(x\). Which representations have the same unit rate as the target?

A. A bank balance changes by \(-\$9~\text{every}~3~\text{days}\).
B. A table has \(x\text{-}\text{values}\) \(0,~3,~6\) and \(y\text{-}\text{values}\) \(20,~11,~2\).
C. Points \((4,~10)\) and \((8,~-2)\).
D. A graph movement goes \(\text{right}~5\) and \(\text{down}~12\).
E. A table has \(x\text{-}\text{values}\) \(2,~4,~6\) and \(y\text{-}\text{values}\) \(11,~5,~-1\).
F. Points \((1,~7)\) and \((3,~1)\).

Actual table and graph-movement choices with equal neutral styling. Open full size
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Four variants of this problem type
Curriculum context
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
Match the same rate across different forms