The y-intercept of the graph is at \( A(0) = 3,000 \), which represents the initial amount of Andrea's investment before any time has passed, indicating that she started with $3,000. The domain of the function is \( t \geq 0 \), meaning the investment is considered from the point of initial investment (year 0) onward; it does not account for negative time. The range of the function is \( A(t) \geq 3,000 \) since the amount will only increase as time progresses. The amount of investment increases over time due to the 14% annual growth rate, which compounds each year.
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 A is the amount in the investment after t years. In 3–5 sentences, answer the following questions. What is the y-intercept on the graph and what does it represent in the story? What is the domain and range? Does the amount of investment increase or decrease over time?(3 points)
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