Andrea invested $3,000 in an online currency. If the value of the currency increases at a rate of 14% per year, the situation can be modeled using the equation A(t)=3,000(1.14)^t, where Ais the amount in the investment after t years. In 3–5 sentences, identify the key features of the graph and interpret the meaning of the data.(2 points)

The equation \( A(t) = 3000(1.14)^t \) represents an exponential growth function, where \( A(t) \) is the amount of investment after \( t \) years, starting with an initial investment of $3,000 and growing at a rate of 14% per year. The graph of this function will show a curve that starts at $3,000 when \( t=0 \) and rises steeply as \( t \) increases, reflecting the nature of exponential growth. As time passes, the rate of increase in the investment grows larger, demonstrating that over time, even a modest percentage increase can lead to significant growth due to compounding. This means that after several years, the investment will substantially outperform simple linear growth, illustrating the power of compound interest in long-term investments.