Select the correct answer from each drop-down menu.
Simplify the given polynomial and use it to complete the statement.
(8x2 – 5x– 7) - (9x2 – 3x – 5) + (x + 7)(x + 1)
The polynomial simplifies to an expression that is a Linear Trinomial
Constant. Binomial
Quadratic. Monomial
with a degree of 0,2,1

A)
For option 1, the type of function is linear because the series of interest earned increases arithmetically in $110 per year.
For option 2, the type of function is exponential because the series of interest earned increases geometrically in $1.09 per year.

b)
The option 1 refers to a simple interest with a function: f(n) = $1000 + $110*n.
The option 2 refers to a compound interest with a function: f(n) = $1000*(1.09^n)

c)
After 20 years, she would get:
in option 1, f(20) = $1000 + $110*20 = $3200
in option 2, f(20) = $1000*(1.09^20) = $5604.41
There is a significant difference between these options because the interest earned ACCRUES on the principal amount and the accumulated interest of previous periods.