If y varies inversely as x and y=32 when x=3 find x when y=15

x = 45/32

Step-by-step explanation:

The governing equation here is y = kx, where k is the constant of proportionality.

If y = 32 when x = 3, then we have    32 = k(3).

Dividing both sides by 3, we get k = 32/3.

Then the governing equation becomes

y = (32/3)x

If we now let y = 15 (given), then

15 = (32/3)x

Multiplying both sides by the reciprocal of 32/3, we get:

(3/32)(15) = (3/32)(32/3)x, or    x = 45/32

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

a is the correct