Question

The harbor at Green Top Lake has a lot of green algae at the end of the summer. However, as the weather gets colder, the algae begins to die. At the beginning of the fall, the harbor has 150,000 square feet of algae. Half of the algae dies per month.

Answer 1

Explanation:

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Answer 2

The completed table describing the relationship between the months and the remaining algae in the harbor:

Months Algae in Harbor (Square Feet)

0 150,000

1 75,000

2 37,500

3 18,750

Here's how we filled in the table:

Month 0: We already know the initial amount of algae is 150,000 square feet.

Month 1: Since half of the algae dies each month, we divide the initial amount by 2: 150,000 / 2 = 75,000 square feet of algae remain at the end of month 1.

Month 2: We repeat the same process for month 2, starting with the amount remaining at the end of month 1: 75,000 / 2 = 37,500 square feet of algae remain at the end of month 2.

Month 3: Following the same pattern, we divide the remaining amount from month 2 by 2: 37,500 / 2 = 18,750 square feet of algae remain at the end of month 3.

Therefore, this table accurately reflects the relationship between the months and the remaining algae in the Green Top Lake harbor. You can continue filling in the table for further months using the same process of halving the previous amount.