The price of a gallon of milk is increasing at a rate of 2% per year. if a gallom of milk costs $3 in 2014, how much will a gallon of milk cost in 2017

Respuesta :

well, we know the price in 2014 is 3 bucks, how much will it be 3 years later?

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &3\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &3\\ \end{cases} \\\\\\ A=3(1 + 0.02)^{3}\implies A=3(1.02)^3\implies A\approx 3.18[/tex]