Investment A is on the rise, experiencing an increase in value, while Investment B is steadily decreasing during the first three years.
Adrianna utilizes exponential functions to model the values of two investments, A and B, with distinct representations. For Investment A, she describes key features, including an initial value of $2000 and an average rate of change over the interval [0, 3] as -95.1. Meanwhile, Investment B is represented by a table with x (number of years) and g(x) (values) columns, showcasing decreasing values over the first three years.
The correct statement regarding the two investments during the first three years is:
D. Investment A is increasing in value, but investment B is decreasing in value.
Investment A, characterized by an initial value and a negative average rate of change, is decreasing. In contrast, Investment B, illustrated in the table, experiences a decline in values from 1800 to 1543 over the first three years.
In summary, Investment A is bucking the decreasing trend, showing an increase in value, while Investment B is consistently decreasing. This analysis aligns with the selected option D.
The question probable may be:
Which statement is true about the two investments during the first three years?
Adrianna using exponential functions to model the value of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, x is the number of years she has held the investment: Which statement is true about the two investments during the first three years?
A. Both investments are decreasing in value at the same average rate.
B. Both investments are decreasing in value and investment B is decreasing value faster.
C. Both investments are decreasing in value and investment A is increasing in value.
D. Investment A is increasing in value, but investment B is decreasing in value.
investment A Investment B
The initial value of the x g(x)
function was 2000 the 0 1,800
average rate of change in 1 1, 710
the function over the interval 2 1,624
[0 , 3] was-95.1 3 1,543