[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The required function is ~
[tex]y = 560x + 14000[/tex]
The population of town is 14000 , and the rate of growth is 4% per year, so let's find the function to describe the solution ~
Let x be the number of years and y be the population after x (number of years) ~
The function can be represented as ~
- [tex]y = 14000 + x \bigg(\dfrac{4}{100} \times 14000 \bigg)[/tex]
let's Simply it a little further ~
- [tex]y = 14000 + x(4 \times 140)[/tex]
- [tex]y = 14000 + 560x[/tex]
- [tex]y = 560x + 14000[/tex]
I hope it helps ~
