In 1992, the moose population in a park was measured to be 5000. By 1999, the population was measured again to be 5490. If the population continues to change linearly:

Find a formula for the moose population, P, in terms of t, the years since 1990

Question

In 1992, the moose population in a park was measured to be 5000. By 1999, the population was measured again to be 5490. If the population continues to change linearly:

 Find a formula for the moose population, P, in terms of t, the years since 1990

popitree · Answer

it is linearly growing, so in a graph u need to get the slope, slope = (change in y)/(change in x)  ; so here population in any year :y, time (x), slope m, c = intercept on y axis ;
c = 5000, since we are considering from 1990, that will be the origin
so it is P = {(5490-5000)/(1999-1990)}.t + 5000