You and your friend each open a savings account at the same time. The balance y (in dollars) of your account after t years is represented by y = 100(1.1)'. The beginning balance of your friend's account is $150, and the balance increases by $50 each year. (a) From Year 0 to Year 10, which account had a greater average rate of change? (b) Which account will eventually have a greater balance? Explain.