The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.

a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.

b. Predict how many years it will be until the account is worth $5,000.