If y varies inversely as x and y is 6 when x is 12, what is x when y is 14.4?

a. 5

b. 0.4

c. 9.6

d. 2.5

Answer: (a)

Step-by-step explanation:

Inversely: y = k/x, x = k/y

6 = k/12

k = 72

x = 72/14.4 = 5

a 5

Step-by-step explanation:

The formula for inverse variation is

xy = k

We know y=6 and x=12

12*6 = k

72 = k

xy = 72

We want to find x when y = 14.4

x*14.4 = 72

Divide each side by 14.4

x*14.4/14,4 = 72/14.4

x = 5