Question

Please help. Jonathan used the equation to show the balance in his bank account over time. What does the 200 represent?

A.The number of years since Jonathan opened his bank account.

B. The starting balance of Jonathan's bank account.

C. The amount of money Jonathan will have in his bank account after one year.

Answer 1

The answer is B. The starting balance of Jonathan's bank account.

In the equation f(x) = 200(1.025)^x, the 200 represents the initial balance in Jonathan's bank account. The variable x represents the number of years that have passed since the account was opened.

The coefficient 1.025 represents the annual interest rate, which means that the balance in the account will grow by 2.5% every year.

For example, if Jonathan opens a bank account with an initial deposit of $200 and earns an annual interest rate of 2.5%, then after one year his balance will be $205.

After two years, his balance will be $210.25, and so on.