Which one is the correct graph for arithmetic growth?

Options

A.
B.
C.
D.

Answer

To determine the correct graph for arithmetic growth, we need to follow these steps:

### Step-by-Step Solution:

1. **Understand Arithmetic Growth**:
- Arithmetic growth occurs when a fixed amount is added to the initial quantity at regular intervals. In the context of plant growth, this means that a cell divides and produces a constant number of new cells over time.

2. **Identify the Characteristics of Arithmetic Growth**:
- In arithmetic growth, the increase in size or number is linear. This means that as time progresses, the growth occurs at a constant rate.

3. **Mathematical Representation**:
- The growth can be expressed mathematically as:
\[ L(t) = L_0 + rt \]
where:
- \( L(t) \) is the length at time \( t \),
- \( L_0 \) is the original length,
- \( r \) is the rate of growth,
- \( t \) is the time.

4. **Graphical Representation**:
- In a graph representing arithmetic growth, the x-axis typically represents time, while the y-axis represents growth (length, number of cells, etc.).
- The graph should show a straight line that slopes upwards, indicating a constant increase over time.

5. **Select the Correct Graph**:
- Among the options provided, identify the graph that depicts a straight line with a constant slope. This is the graph that represents arithmetic growth.

### Conclusion:
The correct graph for arithmetic growth is the one that shows a straight line with a constant slope, indicating a linear increase over time.

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