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

(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

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.