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Leticia invests $200 at 5% interest. If f(x) represents the amount of money after x time periods, which exponential function best represents this situation?

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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

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