Answer:
B. 7.3 years
Step-by-step explanation:
The question is wrong. The correct function is :
We have the function that represents the value of a piece of farm equipment after years.
This means that when its original value is :
Now we want to calculate approximately when will its value be half its original value. Then, we write :
is half of its original value. We need to find that satisfies the following equation :
Solving for :
⇒
Now we apply natural logarithm to each side of the equation :
Using logarithm properties :
⇒
⇒
≅
The correct option is B. 7.3 years