Mark the correct statement/s about arithmetic growth.

Options

A. In mitosis , only one daughter cell continues to divide while the other differentiates and matures .
B. `L_t=L_0+rt`
C. The simplest expression of this growth is exemplified by a root elongating at a constant rate.
D. All of the above

Answer

To solve the question about arithmetic growth, we will analyze the statements provided and determine their correctness step by step.

### Step 1: Understand Arithmetic Growth
Arithmetic growth refers to a type of growth where a quantity increases by a constant amount over equal intervals of time. This can be visualized as a straight line on a graph, where the slope represents the constant rate of increase.

**Hint:** Remember that arithmetic growth is characterized by a constant addition rather than a percentage increase.

### Step 2: Evaluate the First Statement
The first statement discusses mitosis, stating that in mitosis, only one daughter cell continues to divide while the other differentiates and matures. This is a correct statement because during mitosis, one cell can continue to divide, while the other may take on a specialized function.

**Hint:** Consider the roles of daughter cells post-mitosis in terms of differentiation and growth.

### Step 3: Evaluate the Second Statement
The second statement presents the equation LT = L0 + RT, where:
- LT is the length after time T,
- L0 is the initial length at time 0,
- R is the growth rate (elongation per unit time),
- T is the time.

This equation is indeed correct for arithmetic growth, as it describes how the length changes over time with a constant rate of growth.

**Hint:** Think about how linear equations represent relationships between variables.

### Step 4: Evaluate the Third Statement
The third statement claims that the simplest expression of arithmetic growth is exemplified by a root elongating at a constant rate. This is also correct, as roots typically grow at a constant rate, which is a classic example of arithmetic growth.

**Hint:** Visualize the growth of roots in plants and how they extend over time.

### Conclusion
After evaluating all three statements, we find that all of them are correct regarding arithmetic growth. Therefore, the correct answer to the question is "All of the above."

**Final Answer:** All of the above statements are correct regarding arithmetic growth.