Exponential growth of population

Author:
gdix
Topic:
Calculus
This graph shows population for variable starting population, growth rate and time. Use the sliders to vary these values and see the effects. You can also show the tangent and its gradient to explore the rate of growth.
Note the y-intercept and the starting value. How does an increased starting value affect the graph? As k increases how does the graph change? For larger t (time) values how does the Rate vary?