16. There are 500 fruit flies in a lab. The population decreases \( 5 \% \) per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6 . Complete the sentence. The population decreases_from day 1 to day 3 than from day 4 to day 6 . (a) Choose from the below words (a) More Quickly Quickly At The Same. aate

The population decreases **more quickly** from day 1 to day 3 than from day 4 to day 6. **Complete Sentence:** The population decreases **more quickly** from day 1 to day 3 than from day 4 to day 6. ### Explanation: - **Exponential Decay:** The fruit fly population decreases by 5% each day. This is an example of exponential decay, where the amount decreases by a fixed percentage over equal time intervals. - **Day 1 to Day 3:** - **Day 1:** \( P_1 = 500 \times 0.95 = 475 \) - **Day 2:** \( P_2 = 475 \times 0.95 = 451.25 \) - **Day 3:** \( P_3 = 451.25 \times 0.95 = 428.69 \) - **Total Decrease:** \( 500 - 428.69 = 71.31 \) flies - **Day 4 to Day 6:** - **Day 4:** \( P_4 = 428.69 \times 0.95 \approx 407.25 \) - **Day 5:** \( P_5 = 407.25 \times 0.95 \approx 386.89 \) - **Day 6:** \( P_6 = 386.89 \times 0.95 \approx 367.55 \) - **Total Decrease:** \( 428.69 - 367.55 \approx 61.14 \) flies - **Comparison:** The total decrease from day 1 to day 3 (71.31 flies) is greater than the decrease from day 4 to day 6 (61.14 flies). This shows that the population **decreases more quickly** in the earlier days. ### Answer: The population decreases **more quickly** from day 1 to day 3 than from day 4 to day 6.