What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)? 3 6

6

Step-by-step explanation:

The constant of variation is the slope

k = (y2-y1)/(x2-x1)

  = (30-18)/(5-3)

   =12/2

   = 6

y = 6x

Step-by-step explanation:

Note that 18 is 6 times 3 and that 30 is 6 times 5.  This is a sure giveaway that the constant of variation, k, is 6.

Thus the equation representing this line is

y = 6x

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.

ummm seems that u didnt post the attachement !