IB physics-Topic1-Qc#4- Measurements and Uncertainty -Paper 2-Variation of intensity of the light

A student carries out an experiment to determine the variation of intensity of the light with distance from a point light source. The light source is at the centre of a transparent spherical cover of radius C. The student measures the distance x from the surface of the cover to a sensor that measures the intensity I of the light.
The light source emits radiation with a constant power P and all of this radiation is transmitted through the cover. The relationship between I and x is given by
I=P/(4π〖(C+x)〗^2 )
This relationship can also be written as follows.
1/√I=Kx+KC
Show that K=2√(π/P).
b)
The student obtains a set of data and uses this to plot a graph of the variation of 1/√I with x. Estimate C.
c). Determine P, to the correct number of significant figures including its unit.
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