Let's first consider: the fact that a new computer loses 1/2 of its value
⇒ third choice and fourth choice are eliminated
⇒ because of the graph project the computer's value as growing over
years
Now let's try to set up an equation:
After 1st year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}[/tex]
After 2nd year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2[/tex]
After 3rd year ⇒ Computer's value =[tex]total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3[/tex]
..... (Hopefully you see a pattern)
After x year ⇒ Computer's value = [tex]total_.value*(\frac{1}{2})^x[/tex]
Therefore, the equation is: [tex]total_.value*(\frac{1}{2})^x[/tex]
⇒that means the graph has to exponentially decreasing as it has
an exponent (meaning the function is exponential) and a base less
than 1 (meaning that the function is decreasing)
Answer: Choice (1)
Hope that helps!
