micaiahwayne5
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Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car
after x years, which function represents the car's value?
f(x) = 20,000(0.85)*
f(x) = 20,000(0.15)*
f(x) = 20,000(1.15)
f(x) = 20,000(1.85)

Respuesta :

emileetownsend15

Answer:

f(x) = 20,000(0.85)*

Step-by-step explanation:

JeanaShupp

Answer: [tex]f(x)=20,000(0.85)^x[/tex]

Step-by-step explanation:

We know that the exponential decay (depreciation) equation with rate of decay r in time period x is given by :-

[tex]f(x)=A(1-r)^x[/tex], A is the initial value .

Given: The initial value of truck = $20,000

Rate of depreciation= 15% = 0.15

Now, the function represents the car's value after x years is given by ;-

[tex]f(x)=20,000(1-0.15)^x\\\\\Rightarrow\ f(x)=20,000(0.85)^x[/tex]

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