The amount of money Leticia has after x time periods can be calculated using the formula:
f(x) = P(1 + r)^x
where P is the principal (initial amount invested), r is the annual interest rate (expressed as a decimal), and x is the number of time periods.
Substituting the given values, we get:
f(x) = 200(1 + 0.05)^x
Simplifying this expression, we get:
f(x) = 200(1.05)^x
Therefore, the exponential function that best represents this situation is:
f(x) = 200(1.05)^x