Question

The bottle is completely full at 11:40 a.m. Which statements help explain this result? Check all that apply. The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes. The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m. and more bacteria were added to fill the bottle. Exponential growth involves a constant multiplicative rate of change. Exponential growth involves a constant additive rate of change.

Answer 1

Answer:

The correct statements are:

- The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes. (The bottle doubled at 11.40)

- The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m. (5 minutes back that is at 11.30, it was one fourth of the full, after 5 minutes, it was half and after 10 minutes it was full)

- Exponential growth involves a constant multiplicative rate of change. (The rate is twice every 5 minutes)

Answer 2

Answer:

Step-by-step explanation:

Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.

This implies it takes 5 minutes for the liquid to double.

This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.

Hence true statements would be:

1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

2)  The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.

3) Exponential growth involves a constant multiplicative rate of change.

(The rate cannot be additional as we get 2 times every 5 minutes)