@FoolForMath
Can you help me?
Suppose that a and b vary inversely and that b=5/6 when a=3 Write a function that models the inverse variation and find b when a = 8

Question

@FoolForMath 
Can you help me?
Suppose that a and b vary inversely and that b=5/6 when a=3 Write a function that models the inverse variation and find b when a = 8

anonymous · Answer

Well, b=k/a. So 5/6=k/3. That makes k=(5)(3)/(6). Simplify this.
This k will then be your proportionality constant. Therefore, we can look for b when a=8 since the only unknown would just be b and not k also.

b=k/8. Just substitute and evaluate, and you have your answer.

anonymous · Answer

The basic form of inverse proportion is $$a=k/b$$
First you need to find what the proportionality constant k is. Just insert the value of a and b given in the problem.
$$3=k/(5/6) = 6k/5$$
$$15=6k$$
$$k=2.5$$
Once you find k, then the relationship between a and b is known. Just substitute a with 8 to get your final answer :)
$$8=k/b$$
$$b=2.5/8$$
$$b=5/16$$

anonymous · Answer

i got 5/6a;5/16 i'm right?

anonymous · Answer

or is it 5/2a;5/16...?

anonymous · Answer

a=5/2b or b=5/2a

yes 5/16 is the correct answer

anonymous · Answer

okay, thank you guys SO much. I really appreciate you guys!