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MF.GR.7 Challenge MF-046-A12-V02

Match and compare words, tables, graphs, and simple equations that represent the same relationship.

Find every equivalent representation in a mixed set

Problem

A taxi company charges a \(\$4\) starting fee and \(\$2~\text{for}~\text{each}~\text{mile}~\text{traveled}\). Identify \(\text{every}~\text{representation}\) equivalent to this relationship.

A. The equation \(y~=~2x~+~4\), where \(x\) is miles and \(y\) is total cost
B. A table with miles \(0,~1,~2,~3\) and cost \(4,~6,~8,~10\)
C. The points \((1,~4)\), \((2,~6)\), \((3,~8)\)
D. The description: the total cost is \(\$4~\text{per}~\text{mile}\) plus a \(\$2\) starting fee
E. The equation \(y~=~4x~+~2\)
F. A line graph that passes through the points \((0,~4)\) and \((3,~10)\)

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Four variants of this problem type
Curriculum context
Standard
MF.GR.7
Category
Representations
Domain
Multiple Representations
Objective
Match and compare words, tables, graphs, and simple equations that represent the same relationship.
Problem type
Find every equivalent representation in a mixed set