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, identify the key features of the graph and interpret the meaning of the data.(2 points)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

The key features of the graph of A(t)=3,000(1.14)^t are:

1) The graph is an exponential growth function, represented by the equation in the form of y = ab^x, where a is the initial value (3,000) and b is the growth factor (1.14).
2) The graph is increasing continuously, indicating that the investment is growing over time.
3) The rate of increase is 14% per year, which means the value of the investment is growing by 14% each year.
The data represents the future value of the investment after t years, showing how the initial investment of $3,000 grows exponentially with a 14% annual rate.