Question

Mario started with $100 in his bank account at the beginning of the year. Each year, his balance will increase by 4%. Write an exponential f(x) , after x years.

Answer 1

The exponential function representing Mario's bank account balance after x years, starting with $100 and increasing annually by 4%, is f(x) = 100(1 + 0.04)^x.

Step-by-step explanation:

Mario started with $100 in his bank account, and it increases by 4% each year. To calculate the amount in his bank account after x years, we can use an exponential function. The general form for such growth is A = P(1 + r)^t, where:

P is the principal amount (the initial amount of money),

r is the annual growth rate (written as a decimal),

t is the time in years.

For Mario's case, we write the function as f(x) = 100(1 + 0.04)^x. After x years, the balance in his bank account will be f(x), which represents the exponential growth of his initial deposit.