The two quantitative variables that would show a positive correlation when graphed on a scatterplot are the age of a child and the size of the child's vocabulary.
As children get older, they typically develop a larger vocabulary, leading to a positive correlation between age and vocabulary size.
In contrast, the number of items in a family's refrigerator and the number of days since the family's last visit to the grocery store would likely show a negative correlation, as the number of items tends to decrease as more days pass since the last grocery shopping trip.