The electrical power, P (in watts), transmitted by a steel shaft depends on the shaft diameter, d (in centimetres), according to the following table:

d 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

P 11 27 52 90 140 210 310 420

Determine a suitable formula to model P(d), and use this model to estimate the electrical power transmitted by a shaft with a diameter of 4.75 cm.