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The problem asks for the growth rate of the population at time \( t = 50 \), based on the graph provided. The graph shows the development of the population \( N \) of a particular animal species as a function of time \( t \) (in days).

To find the growth rate at \( t = 50 \), we need to calculate the slope of the graph at that point, which represents the derivative \( \frac{dN}{dt} \) at \( t = 50 \).

### Approach:
1. **Visual inspection**: From the graph, at \( t = 50 \), the population seems to have stabilized or slowed down significantly.
2. **Estimate the slope**: The slope can be approximated as the change in \( N \) over a small interval of time around \( t = 50 \). We can approximate this by finding two nearby points on the curve and calculating the slope between them.

Let's go through the details:

- At \( t = 40 \), \( N \approx 95 \) individuals.
- At \( t = 60 \), \( N \approx 105 \) individuals.

Thus, over the interval from \( t = 40 \) to \( t = 60 \):
\[
\frac{\Delta N}{\Delta t} = \frac{105 - 95}{60 - 40} = \frac{10}{20} = 0.5 \, \text{individuals per day}.
\]

This provides an approximation for the growth rate at \( t = 50 \), which is about \( 0.5 \) individuals per day.

Let me know if you'd like more detailed information or further analysis!

### Related Questions:
1. What would the growth rate be at \( t = 30 \) based on the graph?
2. How can we mathematically model this type of population growth?
3. What happens to the population growth rate as \( t \) increases further beyond \( t = 100 \)?
4. How does the initial growth rate compare with the growth rate at \( t = 50 \)?
5. Can you find the inflection point of the graph, where the growth rate changes from increasing to decreasing?

### Tip:
For precise calculation, you can use calculus by deriving the equation of the curve if it's available or use numerical methods to estimate the derivative at specific points.

Bestem væksthastigheden for antallet af individer i populationen til tidspunktet t = 50

Learn how to determine the growth rate of a population at time t = 50 using calculus and derivative concepts. This problem involves analyzing a graph and calculating the slope to estimate the growth rate. Suitable for students in Grades 10-12.

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