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MF.PR.4 Challenge MF-018-A13-V04

Use ratio tables and double number lines to solve missing-value and scaling problems.

Choose a smart table or number-line strategy

Problem

A miles-to-gallons line includes \((4,1.5)\), \((8,3)\), \((16,6)\), and \((20,?)\). Consider these methods: A, start at \(16\) and add \(\text{one}~4\text{-}\text{mile}~\text{jump}\); B, scale to \(1~\text{mile}\) but stop before scaling back to \(20~\text{miles}\); C, jump from \(8~\text{to}~24\). Choose the method that works, then calculate the gallons for \(20~\text{miles}\).

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Four variants of this problem type
Curriculum context
Standard
MF.PR.4
Category
Proportional Reasoning
Domain
Representations
Objective
Use ratio tables and double number lines to solve missing-value and scaling problems.
Problem type
Choose a smart table or number-line strategy