Question

Given y inversely proportional to x and x = 3 for y = 4, what is x if y = 12?

A.) 1
B.) 9
C.) 16

Answer 1

B

12 is equal to 4y, or 4(3)

you can multiply 4 by x to get 9 since they’re inversely proportionate.

Answer 2

A) 1.

Explanation:

y is inversely proporcional to x so the equation has the form:

y = c/x

With c been any constant, to find the value of c we use y=4 and x=3:

4 = c/3

c=4*3

c=12

So the equation is

y=12/x

Using y=12 to find x:

12=12/x

(12/12)=x

x=1