Guess from the nearest crate
Show on a big screenA new mango crate arrives. Nobody has priced it yet.
Each crate has two facts. Spots is the number of bad-looking mangoes in a sample of ten. Days is the number of days since picking. The board is a grid. Each crate sits at its spots and days.
- Eight priced crates sit on a board. Across is spots. Up is days.
- A new crate lands on the ring. It has no price.
- Measure to the crate below it. That is 1 across and 2 up.
- 1 × 1 + 2 × 2 = 5. Measure every crate this way.
- This crate has the smallest number. Copy its price: full.
The rule
Measure the gap to every priced crate. The nearest crate's price is the guess.
Each priced crate is an example. It has its answer already written. Across is how far apart two crates are in spots. Up is how far apart they are in days. The gap number is across × across, plus up × up. A smaller number means nearer.
| Crate | Across | Up | Gap number | Price |
|---|---|---|---|---|
| F | 1 | 2 | 1 + 4 = 5 | full |
| C | 0 | 3 | 0 + 9 = 9 | full |
| D | 3 | 1 | 9 + 1 = 10 | full |
| E | 4 | 1 | 16 + 1 = 17 | cut |
| A | 2 | 4 | 4 + 16 = 20 | cut |
F has the smallest number. The guess is full price. Crate E says cut price, but it is farther. Crates alike in spots and days often share a price.
Tap the nearest lettered crate. Read its gap number.
Loading lab…
Try the lab to finish this lesson.