Question

The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Mason is studying the change in the amount of money in two accounts, A and B, over time.

The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 10,125(1.83)x

Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the amount g(r), in dollars, of money in account B after r years.

r (number of years) 1 2 3 4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer.

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Answer 1

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$part = a$

The amount of money is increasing by 83% per year.

$part = b$

95%

The function g(r) recorded the greatest percent change

Step-by-step explanation:

Assuming

$part = a$

For the function the percentage change is found by taking the slope between two consecutive points of the function and then seeing how it compares to the original amount

which is the amount increase per year. The percent this is of the original amount is

thus, the amount of money is increasing by 83% per year.

$part = b$

The table gives shows us that the function is not linear, because there is no constant slope between the consecutive points, for example

and so on.

Now, let us find the percentage increase between the amount of money in consecutive years:

we clearly see here that percent increase is 95%.

Since the function g(r) has greater percent increase than f(x), we conclude that g(r) recorded the greatest percent change over the previous year.

Thanks Useless

Answer posted by: quantaviousw49

l g(r) (amount in dollars): 9,638, 18,794.10, 36,648.50, 71,464.58

is your answer hope it helps! :)

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Answer 2

Answer:

• if x in power then 1.83>1
• so account is increasing.
• it is increasing at 83 %
• for B

18794.10−96389638×100=95

• so increase is 95 %

percentage increase of B is more than A by 12 %