Ascientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9%. using the scientist's prediction, create an equation that models the population of bats, y, after x years.

Growth rate = 2.9% = 0.029

After 1 year,    y = 270000*(1 +0.029) = 270000*1.029
After 2 years, y = (270000*1.029)*1.029 = 270000*(1.029^2)

After x years, the population is
y = 270000*(1.029^x)

 

Ifound this on google “that means that the graph of a function with direct variation has these features: it is a straight line: because the slope is the ratio y/x = k. it passes through the origin (0,0): because y = kx = k (0) = 0.” i hope this you for what your looking for