Problem preview
MF.PR.2 Challenge MF-016-A12-V03

Compute and interpret unit rates, including rates with fractional or decimal quantities.

Screen for matching unit-rate representations

Problem

A runner goes \(3/4~\text{mile}\) in \(1/6~\text{hour}\). Evaluate every statement below against the same speed, whether expressed in miles per hour or as an equivalent distance-and-time relationship.

A. \(4.5~\text{miles}~\text{per}~\text{hour}\)
B. \(4~1/2~\text{miles}~\text{per}~\text{hour}\)
C. \((3/4)~\div~(1/6)~=~4.5~\text{miles}~\text{per}~\text{hour}\)
D. \((1/6)~\div~(3/4)~=~2/9~\text{hour}~\text{per}~\text{mile}\)
E. The runner goes \(9~\text{miles}~\text{in}~2~\text{hours}\)
F. The runner goes \(2~\text{miles}~\text{in}~30~\text{minutes}\)
G. The runner goes \(4.5~\text{hours}~\text{in}~1~\text{mile}\)
H. The speed is \(0.45~\text{mile}~\text{per}~\text{hour}\)

Include every correct statement.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.2
Category
Proportional Reasoning
Domain
Ratios and Rates
Objective
Compute and interpret unit rates, including rates with fractional or decimal quantities.
Problem type
Screen for matching unit-rate representations