help meh! Assume that the value of an automobile is inversely proportional to its age. If it is worth $3,000 when it is two years old, what is its value when it is six years old?

Question

anonymous · Answer

inverse variation?

diyadiya · Answer

$$Value=k \frac{1}{age}$$

anonymous · Answer

as age increases the value decreases, it is inversely proportional.

Older -> less valuable (<3000)

diyadiya · Answer

$$3000=k*\frac{1}{2}$$

Now find k and find the value when age is 6

anonymous · Answer

like 500?

diyadiya · Answer

What did you get k as?

diyadiya · Answer

$$3000=k*\frac{1}{2} \ (or) \ 3000= \frac{k}{2}$$
Now calculate k

anonymous · Answer

am I supposed to put the 6 over it?

diyadiya · Answer

No now dont use 6 
Just calculate k first

anonymous · Answer

how ?!

diyadiya · Answer

$$3000=k*\frac{1}{2} \ (or) \ 3000= \frac{k}{2} $$
Did you understand this?

anonymous · Answer

oh wait... 6,000...I'm stupid

diyadiya · Answer

Yup Right :)
Now you found k
Lets Go back to the equation
$$Value=k \frac{1}{age}$$

diyadiya · Answer

Substitute k=6000 and age=6 and find the value :)

anonymous · Answer

1,000?!

diyadiya · Answer

Yup :)

anonymous · Answer

thank you so much, diya! Sorry I'm a retard...

diyadiya · Answer

Lol No problem :) i'm not a nerd either :P