Question

*** Will give you a medal ***
Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30.

Answer 1

when a and b vary inversely, we can write
\(ab=k, \: or \: b=\dfrac{k}{a}\)
where k is a constant.
so, just plug in b=8 and a=6 in the above and find 'k'

Answer 2

k=48

Answer 3

yes, k= 48 is correct :)

Answer 4

so then when a=30 b=48/30

Answer 5

yes, that is also correct, when a=30
b= 48/30 =...?

Answer 6

1.6

Answer 7

yes, or you can keep it as 8/5