the bottle is completely full at 11:40 a.m. which statements help explain this result? check all that apply…

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.

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

Answer:

  • 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.
  • Exponential growth involves a constant multiplicative rate of change.

Explanation:

Step1: Analyze first statement

If 1/2 full at 11:35 and doubles in 5 - min to 11:40, it's full.

Step2: Analyze second statement

If 1/4 full at 11:30, doubles at 11:35 (becomes 1/2 full) and doubles again at 11:40 (becomes full).

Step3: Analyze fourth statement

Exponential growth has a constant multiplicative rate (like doubling), which fits the bottle - filling scenario.

Step4: Analyze third statement

Adding more bacteria is not consistent with natural exponential growth described.

Step5: Analyze fifth statement

Exponential growth is multiplicative not additive.