the resale value of a textbook decreases by 25% with each previous owner. a new textbook is sold for $85…

the resale value of a textbook decreases by 25% with each previous owner. a new textbook is sold for $85. which function represents the resale value of the textbook after x owners?\n○ (f(x)=85(1 - 0.25)^x)\n○ (f(x)=85(1 + 0.25)^x)\n○ (f(x)=85(0.25)^x)\n○ (f(x)=(85 - 0.25)^x)

the resale value of a textbook decreases by 25% with each previous owner. a new textbook is sold for $85. which function represents the resale value of the textbook after x owners?\n○ (f(x)=85(1 - 0.25)^x)\n○ (f(x)=85(1 + 0.25)^x)\n○ (f(x)=85(0.25)^x)\n○ (f(x)=(85 - 0.25)^x)

Answer

Answer:

A. $f(x)=85(1 - 0.25)^x$

Explanation:

Step1: Identify decay - formula

The general formula for exponential decay is $y = a(1 - r)^x$, where $a$ is the initial amount, $r$ is the rate of decay, and $x$ is the number of time - periods.

Step2: Determine values of $a$ and $r$

Here, the initial value of the textbook $a = 85$ (the price of a new textbook), and the rate of decay $r=0.25$ (since the resale value decreases by 25% or 0.25).

Step3: Write the function

Substituting $a = 85$ and $r = 0.25$ into the decay formula, we get $f(x)=85(1 - 0.25)^x$.