Consecutive integers are integers that appear one after the other. so let's call them x, x+1, and x+2.
the smallest (which is x) is 15 less than twice the larger. "the larger" is a bit unclear, but i'm assuming it is referring to the x+1 integer, because it doesn't say the "largest". so x = 2(x+1) - 15. let's try to solve for x.
x = 2(x+1) - 15 x = 2x + 2 - 15 x = 2x - 13 subtract 2x from both sides. -x = -13 x = 13 x+1 = 14 x+2 = 15
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).