Please show full solutions below to help me better understand. Thanks

- For question G I only need where and when the school should be built and why not the recommendation letter thing.

Researchers at a school board have developed models to predict population changes in the three areas they service. The models are A ( t) = 360 1 + 6 for area A, B() 30r for area B, and C() 50 r+ 1 for area C, 39-2t where the population is measured in thousands and / is the time, in years, since 2007. The existing schools are full, and the board has agreed that a new school should be built.In which area should the new school be built, and when will the new school be needed? A. Graph each population function for the 20 years following 2007. Use your graphs to describe the population trends in each area between 2007 and 2027. B. Describe the intervals of increase or decrease for each function. C. Determine which area will have the greatest population in 2010, 2017, 2022, and 2027. D. Determine the intervals over which . the population of area A is greater than the population of area B . the population of area A is greater than the population of area C . the population of area B is greater than the population of area C E. Determine when the population of area B will be increasing most rapidly and when the population of area C will be increasing most rapidly. F. What will happen to the population in each area over time? G. Decide where and when the school should be built. Compile your results into a recommendation letter to the school board