Question

The population of Nottingham High School can be modeled using the equation

P(t) = 2, 600 (0. 96)", where t is the number of years since 2000.


Interpret the statement that P(14) = 1,468.

Answer 1

`\stackrel{\textit{population of Nottinghan HS}}{P(t)=2600(0.96)^t} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{t=14}}{P(14)}~~ = ~~2600(0.96)^(14)\implies \stackrel{\textit{in the year 2014, the population will be about 1468}}{P(14) ~~\approx ~~1468}`