Question

If x varies inversely with y and x = 2 when y = 48, find x when y = 24.

A)2
B)4
C)1
D)12

Answer 1

x varies inversely with y

means that

x = k/y

where k is some fixed number

Answer 2

it tells us that when x = 2, y is y = 48, so this means

x = k/y

2 = k/48 .. plug in x = 2 and y = 48

now solve for k and tell me what you get

Answer 3

k=96

Answer 4

so your equation is now y = 96/x

Answer 5

when x = 24, y = ???

Answer 6

y=4

Answer 7

good

Answer 8

oh wait, sorry

x = 96/y is your equation

x = 96/24

x = 4

the answer is still 4 though

Answer 9

ah! sweet! thank you so much for helping me!!! :)

Answer 10

you're welcome