Question
The value of a used vehicle a few years after purchase is given by the equation:
y=300(1−0.06)^2
What is the rate of growth or decay?
A.
6%; 0.06
B.
106%; 1.06
C.
94%; 0.94
D.
100%; 1
y=300(1−0.06)^2
What is the rate of growth or decay?
A.
6%; 0.06
B.
106%; 1.06
C.
94%; 0.94
D.
100%; 1
Answers
GPT-4o mini
The equation given is:
\[ y = 300(1 - 0.06)^2 \]
In this equation, \(0.06\) represents the rate of decay. Since \(1 - 0.06 = 0.94\), it indicates that the vehicle's value decreases by \(6\%\) each year.
To find the rate of decay, you recognize that a decay rate of \(6\%\) means we are losing \(6\%\) of the vehicle's value annually.
Thus, the correct answer is:
**A. 6%; 0.06**
\[ y = 300(1 - 0.06)^2 \]
In this equation, \(0.06\) represents the rate of decay. Since \(1 - 0.06 = 0.94\), it indicates that the vehicle's value decreases by \(6\%\) each year.
To find the rate of decay, you recognize that a decay rate of \(6\%\) means we are losing \(6\%\) of the vehicle's value annually.
Thus, the correct answer is:
**A. 6%; 0.06**