Math / Calculus

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30. Cell growth and cell replication are essential for the development of multicellular organisms. The surface area to volume ratio (SA/V) is related to cell growth and replication. Imagine a cell that has just completed cytokinesis at time 0 . It then continues to grow from timeline 0-200 mins after which it enters the mitotic phase of the cell cycle. At time 300 mins , it undergoes cytokinesis again.
Which of the following graphs depict the change in the SA/V ratio of the cell from time 0-300 mins?
C A. A B. B C. C D. D

Studdy Solution

STEP 1

1. The cell undergoes growth from 0 to 200 minutes and then enters the mitotic phase.
2. The cell undergoes cytokinesis at 0 minutes and again at 300 minutes.
3. The surface area to volume ratio (SA/V) changes as the cell grows and divides.

STEP 2

1. Understand the relationship between cell growth and the SA/V ratio.
2. Analyze the phases of the cell cycle in the given timeline.
3. Determine the expected trend of the SA/V ratio over time.
4. Match the expected trend with the given graph options.

STEP 3

When a cell grows, its volume increases faster than its surface area, leading to a decrease in the SA/V ratio.

STEP 4

From 0 to 200 minutes, the cell is in the growth phase, so the SA/V ratio should decrease.
At 200 minutes, the cell enters the mitotic phase, preparing for division.
At 300 minutes, the cell undergoes cytokinesis, splitting into two smaller cells, which increases the SA/V ratio.

STEP 5

The expected trend is a decrease in the SA/V ratio during growth (0 to 200 minutes), followed by an increase during cytokinesis (at 300 minutes).

STEP 6

Graph A shows a decrease in the SA/V ratio followed by a sharp increase, which matches the expected trend.
The graph that depicts the change in the SA/V ratio of the cell from time 0-300 mins is:
$\boxed{A}$

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Studdy Solution

STEP 1

1. The cell undergoes growth from 0 to 200 minutes and then enters the mitotic phase.
2. The cell undergoes cytokinesis at 0 minutes and again at 300 minutes.
3. The surface area to volume ratio (SA/V) changes as the cell grows and divides.

STEP 2

1. Understand the relationship between cell growth and the SA/V ratio.
2. Analyze the phases of the cell cycle in the given timeline.
3. Determine the expected trend of the SA/V ratio over time.
4. Match the expected trend with the given graph options.

STEP 3

When a cell grows, its volume increases faster than its surface area, leading to a decrease in the SA/V ratio.

STEP 4

From 0 to 200 minutes, the cell is in the growth phase, so the SA/V ratio should decrease.
At 200 minutes, the cell enters the mitotic phase, preparing for division.
At 300 minutes, the cell undergoes cytokinesis, splitting into two smaller cells, which increases the SA/V ratio.

STEP 5

The expected trend is a decrease in the SA/V ratio during growth (0 to 200 minutes), followed by an increase during cytokinesis (at 300 minutes).

STEP 6

Graph A shows a decrease in the SA/V ratio followed by a sharp increase, which matches the expected trend.
The graph that depicts the change in the SA/V ratio of the cell from time 0-300 mins is:
$\boxed{A}$

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Studdy Solution

STEP 1

1. The cell undergoes growth from 0 to 200 minutes and then enters the mitotic phase.2. The cell undergoes cytokinesis at 0 minutes and again at 300 minutes.3. The surface area to volume ratio (SA/V) changes as the cell grows and divides.

STEP 2

1. Understand the relationship between cell growth and the SA/V ratio.2. Analyze the phases of the cell cycle in the given timeline.3. Determine the expected trend of the SA/V ratio over time.4. Match the expected trend with the given graph options.

STEP 3

When a cell grows, its volume increases faster than its surface area, leading to a decrease in the SA/V ratio.

STEP 4

From 0 to 200 minutes, the cell is in the growth phase, so the SA/V ratio should decrease.At 200 minutes, the cell enters the mitotic phase, preparing for division.At 300 minutes, the cell undergoes cytokinesis, splitting into two smaller cells, which increases the SA/V ratio.

STEP 5

The expected trend is a decrease in the SA/V ratio during growth (0 to 200 minutes), followed by an increase during cytokinesis (at 300 minutes).

STEP 6

Graph A shows a decrease in the SA/V ratio followed by a sharp increase, which matches the expected trend. The graph that depicts the change in the SA/V ratio of the cell from time 0-300 mins is:A \boxed{A} A​

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The cell undergoes growth from 0 to 200 minutes and then enters the mitotic phase.
2. The cell undergoes cytokinesis at 0 minutes and again at 300 minutes.
3. The surface area to volume ratio (SA/V) changes as the cell grows and divides.

1. Understand the relationship between cell growth and the SA/V ratio.
2. Analyze the phases of the cell cycle in the given timeline.
3. Determine the expected trend of the SA/V ratio over time.
4. Match the expected trend with the given graph options.

From 0 to 200 minutes, the cell is in the growth phase, so the SA/V ratio should decrease.
At 200 minutes, the cell enters the mitotic phase, preparing for division.
At 300 minutes, the cell undergoes cytokinesis, splitting into two smaller cells, which increases the SA/V ratio.

Graph A shows a decrease in the SA/V ratio followed by a sharp increase, which matches the expected trend.
The graph that depicts the change in the SA/V ratio of the cell from time 0-300 mins is:
$\boxed{A}$