The enrollment at a high school for the year 2007 is approximately 1500. The growth of the school population can be represented by the equation P = 1500 (1.04) x where x represents the years after 2007. After how many years will the population of the school be approximately 1900?

Well if you do the math you will get 6 so your answer is 6

Given equation:

P=1500 (1.04) ^x

When have to find x, when population, p=1900

Put value of P=1900 in above equation.

1900=1500 (1.04) ^x

Divide both sides by 1500

19/15 = (1.04) ^x

1.27 = (1.04) ^x

Take natural log.

ln (1.27) = ln (1.04) ^x

ln (1.27) = x ln (1.04)

Divide both sides by ln (1.04)

x=6 years

Answer: 6 years