A solar fire starter is designed so that its cross-sections are in the shape of a parabola. Given that the diameter of the solar fire starter at its opening is 24 centimeters and the igniter is located 9 centimeters from the base along the axis of symmetry, what is the depth of the fire starter

Step-by-step explanation:

From the question we are told that:

Diameter

Radius

Igniter distance

Generally the equation for depth  is mathematically given by

Therefore

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.

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- : )