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Answers
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
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
Account B shows the greater percentage
change
Step-by-step explanation:
Part A: Percent change from exponential
formula
f(x) = 9628(0.92)*
The general formula for an exponential
function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay
function.
f(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an
exponential decay function as:
y= a(1 – b)”, where
1- b = the decay factor
b = the percent change in decimal
form
If we compare the two formulas, we find
0.92 = 1- b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8%. The account is decreasing at an annual rate of 10.00%.
Account B recorded a greater percentage change in the amount of money over the previous year.
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Answer:
8% is the correct answer