I designed this word problem myself in designing a game, but i can't seem to make an equation out of it:
You establish colonies that always grow in population, 1 person per 1 seconds. The more colonies you control, the faster the overall population will increase.
For every colony you control the speed goes up by 0.01 seconds, so if you have 2 colonies you get one person every 0.98 seconds.
Your population stops growing over time as the colonies get "full" then you will need to make new colonies.
depending on the size of the colony the initial population bonus will vary
Tiny: 50 people (100 max)
Med-Small: 75 people (175 max)
Small: 100 people (250 max)
Medium: 150 people (375 max)
Large: 250 people (600 max)
examples: If you have 4 tiny colonies.
-You can have a maximum population of 400.
-Your population grows by 1 person every 0.3 seconds.
-You had a starting population of 200.
Basically, i keep trying to think of an equation that just represents the population size as the dependent variable and the number of colonies increasing the speed of population growth over time as the independent variable
You establish colonies that always grow in population, 1 person per 1 seconds. The more colonies you control, the faster the overall population will increase.
For every colony you control the speed goes up by 0.01 seconds, so if you have 2 colonies you get one person every 0.98 seconds.
Your population stops growing over time as the colonies get "full" then you will need to make new colonies.
depending on the size of the colony the initial population bonus will vary
Tiny: 50 people (100 max)
Med-Small: 75 people (175 max)
Small: 100 people (250 max)
Medium: 150 people (375 max)
Large: 250 people (600 max)
examples: If you have 4 tiny colonies.
-You can have a maximum population of 400.
-Your population grows by 1 person every 0.3 seconds.
-You had a starting population of 200.
Basically, i keep trying to think of an equation that just represents the population size as the dependent variable and the number of colonies increasing the speed of population growth over time as the independent variable