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For a science fair project, Javier is recording the amount of water that evaporates from a bucket over a month. He creates a table as follows:

- Week 1: 2/16 inch
- Week 2: 1/16 inch
- Week 3: 3/16 inch
- Week 4: 2/16 inch

Questions:
1. How much water had evaporated from the bucket by the end of week 2?
2. What was the total amount of water that evaporated over the four weeks?
3. If Javier originally put 4 inches of water in the bucket, how many inches of water were left after the experiment was completed?

Answer :

Answer: [tex]\dfrac{3}{16},\ \dfrac{1}{2}, \dfrac{7}{2}\ \text{inch}[/tex]

Step-by-step explanation:

Given

Javier created a table for the amount of water evaporated in each week

After two weeks, the amount of water evaporated is

[tex]\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}\\\\\Rightarrow \dfrac{2+1}{16}=\dfrac{3}{16}\ \text{inch}[/tex]

Total amount of water evaporated in four weeks is

[tex]\Rightarrow \dfrac{2}{16}+\dfrac{1}{16}+\dfrac{3}{16}+\dfrac{2}{16}\\\\\Rightarrow \dfrac{2+1+3+2}{16}=\dfrac{8}{16}\\\Rightarrow \dfrac{1}{2}\ \text{inch}[/tex]

If Javier originally puts 4 inches of water, amount of water left in the bucket

[tex]\Rightarrow 4-\dfrac{1}{2}\\\\\Rightarrow \dfrac{4\times 2}{2}-\dfrac{1}{2}\\\\\Rightarrow \dfrac{8-1}{2}=\dfrac{7}{2}\ \text{inch}[/tex]

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Rewritten by : Barada