Problem preview

MF.PR.8 Challenge MF-022-A12-V03

Use proportional reasoning to solve percent problems without relying on memorized templates alone.

Identify all valid percent setups for one problem

Problem

A school surveyed \(320\) students, and \(88\) prefer biking to school. Which complete response correctly evaluates the candidate proportions for modeling the percent \(p\) who prefer biking?

A. \(88/320~=~p/100\)
B. \(p/100~=~88/320\)
C. \(320/88~=~100/p\)
D. \(100/p~=~320/88\)
E. \(88/p~=~320/100\)
F. \(320/100~=~p/88\)

Question-support diagram for the survey problem about biking to school. The visual shows three labeled quantity boxes with part 88 students, whole 320 students, and percent p, a reference relationship part divided by whole equals percent divided by 100, and a two-column grid listing candidate setups A through F for comparison.

Answer choices

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A

Valid setups: A, B, C, D, E; p = 27.5%

B

Valid setups: A, B, C, D, E, F; p = 27.5%

C

Valid setups: A, B, C, D; p = 27.5%

D

Valid setups: A, B, C, D, E; p = 36.36%

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Curriculum context

Course: Math Foundations
Standard: MF.PR.8
Category: Proportional Reasoning
Domain: Percents
Objective: Use proportional reasoning to solve percent problems without relying on memorized templates alone.
Problem type: Identify all valid percent setups for one problem