Middle School

Mrs. Galicia bought a new car for $20,000. This car will depreciate at a rate of 6% per year. Which equation represents this function in terms of x, time?

A. [tex]f(x) = 20000(0.94)^x[/tex]
B. [tex]f(x) = 20000(0.06)^x[/tex]
C. [tex]f(x) = 20000(1.06)^x[/tex]
D. [tex]f(x) = 20000(0.94)^x[/tex]

Answer :

Answer:

f(x) = 20,000(1 - 0.06)^x

Step-by-step explanation:

The equation to get exponential decay is: A = P(1 +- r)^t

A = Account Balance

P = Principle Amount

r = interest rate (decimal)

t = Time (years)

So, if you plug in all the variables with the values represented in the word problem, you get: f(x) = 20,000(1 - 0.06)^x

Hope this helps!

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