To determine the correct expression that calculates the population of sea turtles $ x $ years from now, given that the population decreases by 25% per year and the current population size is 1,024, follow these steps:

1. **Understand the Decrease Rate**: A decrease of 25% per year means that each year, the population retains 75% (100% - 25%) of its size from the previous year.

2. **Determine the Retention Factor**: The retention factor is 0.75 (since 75% as a decimal is 0.75).

3. **Formulate the Expression**: The population after $ x $ years can be calculated by multiplying the current population by the retention factor raised to the power of $ x $. This is because the population decreases by 25% each year, so each year it is multiplied by 0.75.

4. **Write the Expression**: The expression for the population $ x $ years from now is:
$$
1,024 \times (0.75)^x
$$

5. **Select the Correct Answer**: Compare this expression with the given options:
- A. $ 1.25 \times (1,024)^x $
- B. $ 0.25 \times (1,024)^x $
- C. $ 1,024 \times (0.75)^x $
- D. $ 1,024 \times (0.25)^x $

The correct answer is:
$$
\boxed{C. 1,024 \times (0.75)^x}
$$

Question

To determine the correct expression that calculates the population of sea turtles $ x $ years from now, given that the population decreases by 25% per year and the current population size is 1,024, follow these steps:

1. **Understand the Decrease Rate**: A decrease of 25% per year means that each year, the population retains 75% (100% - 25%) of its size from the previous year.

2. **Determine the Retention Factor**: The retention factor is 0.75 (since 75% as a decimal is 0.75).

3. **Formulate the Expression**: The population after $ x $ years can be calculated by multiplying the current population by the retention factor raised to the power of $ x $. This is because the population decreases by 25% each year, so each year it is multiplied by 0.75.

4. **Write the Expression**: The expression for the population $ x $ years from now is:
   $$
   1,024 \times (0.75)^x
   $$

5. **Select the Correct Answer**: Compare this expression with the given options:
   - A. $ 1.25 \times (1,024)^x $
   - B. $ 0.25 \times (1,024)^x $
   - C. $ 1,024 \times (0.75)^x $
   - D. $ 1,024 \times (0.25)^x $

The correct answer is:
   $$
   \boxed{C. 1,024 \times (0.75)^x}
   $$

Knowee AI · Accepted Answer

To determine the correct expression that calculates the population of sea turtles $ x $ years from now, given that the population decreases by 25% per year and the current population size is 1,024, follow these steps:

1. **Understand the Decrease Rate**: A decrease of 25% per year means that each year, the population retains 75% (100% - 25%) of its size from the previous year.

2. **Determine the Retention Factor**: The retention factor is 0.75 (since 75% as a decimal is 0.75).

3. **Formulate the Expression**: The population after $ x $ years can be calculated by multiplying the current population by the retention factor raised to the power of $ x $. This is because the population decreases by 25% each year, so each year it is multiplied by 0.75.

4. **Write the Expression**: The expression for the population $ x $ years from now is:
   $$
   1,024 \times (0.75)^x
   $$

5. **Select the Correct Answer**: Compare this expression with the given options:
   - A. $ 1.25 \times (1,024)^x $
   - B. $ 0.25 \times (1,024)^x $
   - C. $ 1,024 \times (0.75)^x $
   - D. $ 1,024 \times (0.25)^x $

The correct answer is:
   $$
   \boxed{C. 1,024 \times (0.75)^x}
   $$

Select the correct answer.A population of sea turtles decreases by 25% per year. The population size is currently 1,024. Which expression calculates the population x years from now? A. 1.25⁢(1,024)𝑥 B. 0.25⁢(1,024)𝑥 C. 1,024⁢(0.75)𝑥 D. 1,024⁢(0.25)𝑥

Question

Solution

Similar Questions

Upgrade your grade with Knowee