Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year.

x = number of years

Aleka: f(x) = 2500(1.025)x

Helene: g(x) = 1500(1.025)x + 200x

Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years?

h(x) = –1000(1.025)x + 200x
h(x) = 1000(1.025)x + 200x
h(x) = 1000(1.025)x – 200x
h(x) = 4000(1.025)x + 200x