Problem preview
MF.PR.5 Standard MF-019-A07-V01

Determine whether a relationship is proportional from a table, graph, equation, or context.

Decide whether a context can continue proportionally

Problem

A babysitter charges an \(\$8~\text{ride}~\text{fee}\) plus \(\$12~\text{per}~\text{hour}\). Can total cost continue proportionally with hours?

Big Picture

What this problem is really about

The total includes both a one-time ride fee and a repeated hourly charge, so we must test the whole rule rather than the hourly portion alone. We’ll write total cost as the fixed amount plus the hourly rate times hours, evaluate it at zero hours, and compare it with the proportional form of one constant times hours.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.5
Category
Proportional Reasoning
Domain
Representations
Objective
Determine whether a relationship is proportional from a table, graph, equation, or context.
Problem type
Decide whether a context can continue proportionally