Question

A group of hikers begin an expedition with 360 pounds of food.

They plan to eat a total of 12 pounds of food per day.

Let x represent the number of days and y represent the amount of food they have left.
1) Fill out the table below

Answer 1

To fill out the table, we can calculate the amount of food left \( y \) after \( x \) days using the formula:

\[
y = 360 - 12x
\]

We'll assume a range of days \( x \) (from 0 up to a point where they run out of food) and calculate the corresponding \( y \).

Here is a sample table with values of \( x \) from 0 to 30 days:

| Days (x) | Food Left (y) |
|----------|---------------|
| 0 | 360 |
| 1 | 348 |
| 2 | 336 |
| 3 | 324 |
| 4 | 312 |
| 5 | 300 |
| 6 | 288 |
| 7 | 276 |
| 8 | 264 |
| 9 | 252 |
| 10 | 240 |
| 11 | 228 |
| 12 | 216 |
| 13 | 204 |
| 14 | 192 |
| 15 | 180 |
| 16 | 168 |
| 17 | 156 |
| 18 | 144 |
| 19 | 132 |
| 20 | 120 |
| 21 | 108 |
| 22 | 96 |
| 23 | 84 |
| 24 | 72 |
| 25 | 60 |
| 26 | 48 |
| 27 | 36 |
| 28 | 24 |
| 29 | 12 |
| 30 | 0 |

This table shows how the amount of food decreases daily until it runs out after 30 days. If you need any specific calculations or adjustments, please let me know!