6. A farm grain bin, which is in the shape of a cylinder, has a radius of 20 ft and a height of 50 ft. The height of the grain bin will be
increased by “x” ft and the radius will also be increased by "x" ft. Find
the polynomial that gives the volume of the new grain bin in ft.

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.