Someone 100 points!

fishing limits
do oceans support unlimited numbers of fish? can you use mathematics to set fishing limits so that this valuable food resource is not endangered?

1.) a fishery is an area with the specific purpose of controlling fish populations for commercial or recreational fishing. population dynamics describe how a fish population changes over time. the population is changed by birth, death, and migration of fish. while the supply of fish (population growth) can be modeled with a linear equation, so can the demand of fish (the amount caught). in one commercial venture, fishermen recorded their daily catch in an ocean fishery. using their data, the demand model for the total number y of fish caught for x days is y= 349x + 50 what is the meaning of the slope in this model? what is the meaning of the y-intercept?
2.) write an equation to model the fish population y in a fishery that has a linear growth rate of 40 new fish each season x, and an initial population of 1250 fish. after how many seasons will the population reach 1690 fish? write an equation for a second fish population that grows by 60 new fish each season with an initial population of 1100 fish. after how many seasons will they have the same population? graph your equations in the coordinate plane and include a picture of your graph.
3.) one species of fish in a fishery had an initial population of 255 fish and after 9 seasons, the population had grown to 480 fish. a second species that was being overfished started with an initial population of 450 fish, and after the same 9 seasons, it had a new population of 90 fish. assuming a linear growth, write equations for the populations of each species. when will the two populations have the same amount of fish? after how many seasons will the second species be eliminated?
4.) yield is the total number of fish caught each year. maximum sustainable yield is the total number of fish you can catch without harming the population. you are given a fish population that is described by the equation y = x^2 + 3 and another fish population being overfished as described by the equation
y = x+ 5 where x is the number of years and y is the number of populations. do populations ever meet? if so describe where they meet and what it means in the context of the problem.