Recycling Points
1. The problem states that every kilogram of waste paper earns 5 points. The table shows the points earned for 1 to 6 kilograms.
2. When the number of kilograms is doubled, the points also double because points are directly proportional to kilograms. For example, 2 kg earns 10 points, which is double the 5 points for 1 kg.
3. When the number of kilograms is tripled, the points triple as well. For example, 3 kg earns 15 points, which is triple the 5 points for 1 kg.
4. To find how many kilograms are needed to earn 500 points, let $n$ be the number of kilograms. The relationship is:
$$P = 5n$$
We want $P = 500$, so:
$$500 = 5n$$
Divide both sides by 5:
$$n = \frac{500}{5} = 100$$
So, the class needs to collect 100 kilograms of paper to earn 500 points.
5. Collecting waste papers helps clean the environment by reducing litter, promoting recycling, and conserving natural resources.
6. Items that can be made from recycled paper include notebooks, cardboard boxes, paper bags, and other paper products.