Question

PLEASE HELP ME!!!

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

@hartnn

Answer 2

for inverse variation, the function will always be
\(xy = k \: or \: y= k/x\)
you'll just need to find the value of 'k'
plug in b=8 and a=6 in ab = k and find the value of k ?

Answer 3

6 x 8 = k

Answer 4

48

Answer 5

yup, so value of k is ?

Answer 6

correct, so your function is ab =48.

Answer 7

thats it?? thanks <3

Answer 8

now plug in a=30 to find the value of b
in ab=48

Answer 9

ah ok so 30 x 48 ?

Answer 10

1440

Answer 11

no I would have to divide 30 x b = 48