Question

warm-up
this table shows how many rolls of paper towels a store receives when they order different numbers of cases.
what do you notice? what do you wonder?
i notice...
i wonder...
number of cases ordered | number of rolls of paper towels
1 | 12
3 | 36
5 | 60
10 | 120

Explanation:

For "I notice...", we can observe the relationship between the number of cases ordered and the number of rolls. For example, when the number of cases ordered is 1, rolls are 12; for 3 cases, rolls are 36 (12×3), for 5 cases, 60 (12×5), and for 10 cases, 120 (12×10). So there's a proportional relationship where the number of rolls is 12 times the number of cases ordered. For "I wonder...", possible questions could be about other numbers of cases, like how many rolls for 2 cases, or if the relationship holds for non - integer cases (though in a store context, cases are likely whole numbers).

Answer:

I notice that the number of rolls of paper towels is 12 times the number of cases ordered (e.g., \(1\times12 = 12\), \(3\times12=36\), \(5\times12 = 60\), \(10\times12=120\)). I wonder how many rolls of paper towels the store would receive if they ordered 2 cases (or 4 cases, or any other number of cases).