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Sagot :
### Step-by-Step Solution:
First Cell Division:
1. Gene 1 is switched on: This gene instructs the cell to grow spikes. This overrides any instruction to lose spikes from Gene 2.
2. Gene 3 is switched on: This gene instructs the cell to lose spikes if they were present. However, since Gene 1 overrides this, the spikes will remain. Additionally, Gene 3 instructs the cell to grow by 20% in volume.
3. Gene 4 is switched on: This gene instructs the cell to grow by two amounts: initially by 20% in volume and subsequently by 30% in volume.
4. Gene 5 is switched on: There are no instructions provided for Gene 5 in this context.
5. Gene 8 is switched on: There are no instructions provided for Gene 8 in this context.
6. Gene 9 is switched on: This gene instructs the cell to remain as a singular cell, overriding any instructions from Genes 10 and 11.
Combining the instructions:
- Spikes grow (Gene 1).
- Volume increases due to the multiplicative effect of Genes 3 and 4:
[tex]\[ \text{Total Volume Change} = 1.2 \times 1.2 \times 1.3 = 1.872 \][/tex]
- The cell remains as a singular entity without dividing (Gene 9).
So, the representation of the cell in Box 1 should show a cell with spikes and approximately 1.872 times its original volume.
Second Cell Division:
1. Gene 5 is switched on: There are no instructions provided for Gene 5 in this context.
2. Gene 8 is switched on: There are no instructions provided for Gene 8 in this context.
3. Gene 9 is switched on: This gene instructs the cell to remain as a singular cell, overriding any instructions from Genes 10 and 11.
Combining the instructions:
- The cell does not grow spikes or change any spike-related structures since Gene 1 is not switched on.
- No change in volume occurs as there are no genes instructing volume change.
- The cell remains as a singular entity without dividing (Gene 9).
The representation of the cell in Box 2 should be similar to an unchanged cell, confirming a singular structure with no spikes and the same volume as it was before this second division.
### Conclusion:
- Box 1: A single cell with spikes and about 1.872 times the original volume.
- Box 2: A singular, unchanged cell (no spikes, no volume change).
First Cell Division:
1. Gene 1 is switched on: This gene instructs the cell to grow spikes. This overrides any instruction to lose spikes from Gene 2.
2. Gene 3 is switched on: This gene instructs the cell to lose spikes if they were present. However, since Gene 1 overrides this, the spikes will remain. Additionally, Gene 3 instructs the cell to grow by 20% in volume.
3. Gene 4 is switched on: This gene instructs the cell to grow by two amounts: initially by 20% in volume and subsequently by 30% in volume.
4. Gene 5 is switched on: There are no instructions provided for Gene 5 in this context.
5. Gene 8 is switched on: There are no instructions provided for Gene 8 in this context.
6. Gene 9 is switched on: This gene instructs the cell to remain as a singular cell, overriding any instructions from Genes 10 and 11.
Combining the instructions:
- Spikes grow (Gene 1).
- Volume increases due to the multiplicative effect of Genes 3 and 4:
[tex]\[ \text{Total Volume Change} = 1.2 \times 1.2 \times 1.3 = 1.872 \][/tex]
- The cell remains as a singular entity without dividing (Gene 9).
So, the representation of the cell in Box 1 should show a cell with spikes and approximately 1.872 times its original volume.
Second Cell Division:
1. Gene 5 is switched on: There are no instructions provided for Gene 5 in this context.
2. Gene 8 is switched on: There are no instructions provided for Gene 8 in this context.
3. Gene 9 is switched on: This gene instructs the cell to remain as a singular cell, overriding any instructions from Genes 10 and 11.
Combining the instructions:
- The cell does not grow spikes or change any spike-related structures since Gene 1 is not switched on.
- No change in volume occurs as there are no genes instructing volume change.
- The cell remains as a singular entity without dividing (Gene 9).
The representation of the cell in Box 2 should be similar to an unchanged cell, confirming a singular structure with no spikes and the same volume as it was before this second division.
### Conclusion:
- Box 1: A single cell with spikes and about 1.872 times the original volume.
- Box 2: A singular, unchanged cell (no spikes, no volume change).
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