Question

Google Classroom

Microsoft Teams
Problem
The table compares the sizes (in grams) of rice packs and their cost (in dollars) for several different convenient stores.
Can the size of a pack be represented as a function of its price?
Price (dollars) Size (grams)
\[2.30\]
\[1000\]
\[1.90\]
\[850\]
\[2.00\]
\[900\]
\[2.60\]
\[1200\]
\[1.90\]
\[850\]
\[2.50\]
\[1100\]
\[1.70\]
\[850\]
\[1.90\]
\[950\]

Answer 1

No. For a relation to be a function, each price must correspond to exactly one size. Here the price $1.90$ is paired with both $850\,$g and $950\,$g, so the size is not uniquely determined by the price. Therefore size is not a function of price.