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 select the best answer from the choices provided

a

given y varies inversely as x then the constant of variation k is

k = xy = 12 × 6 = 72, hence

y =

when y = 14.4 then

x = = = 5

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2