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. Identify the key features of the graph and interpret the meaning of the data(8 points)
At t increases, A
at first and then
The y-intercept is
than
The A-values are
than
The amount in the investment continues to
over time
At t increases, A increases at first and then continues to increase over time. The growth is exponential.
The y-intercept is 3000, which represents the initial investment amount.
The A-values are greater than 3000, indicating that the investment is gaining value over time.
The amount in the investment continues to grow exponentially over time, as indicated by the exponential function A(t) = 3000(1.14)^t. This means that the investment is experiencing compounded growth at a rate of 14% per year.