Question

Mr. Kelsey just opened a T‑shirt shop and is determining what to charge for bundles of shirts. Which table of prices represents a proportional relationship?


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Answer 1

I can’t see the numbers in those images clearly. Could you either type the four tables here or paste one image that shows the numbers?

Meanwhile, here’s how to tell which table is proportional so you can check quickly:

- A table is proportional if the price per shirt is the same for every row.
- For each row divide Price ÷ Number-of-shirts. If you get the same number every time, the relationship is proportional.
- Equivalently, pick any two different rows (a, b) and (c, d) and check cross‑multiplication: a·d = b·c. If that holds for all row pairs, it’s proportional.

Examples:
- (1 shirt, $5), (2 shirts, $10), (3 shirts, $15) is proportional because each price ÷ shirts = $5 per shirt.
- (1 shirt, $4), (2 shirts, $9) is not proportional because 9 ÷ 2 = 4.5 ≠ 4.

Send the table values and I’ll tell you which one represents a proportional relationship.