The island of Kauai used to sit on the hot spot; it is approximately 5.1 million years old and is now approximately 473 km away from the hot spot, to the northwest. Given these parameters, what is the average rate of motion of the Pacific Plate in cm per year?

9.27 cm  per year

Explanation:

The island is 5.1 million years old

it is 473 km away from the hot spot, to

the average rate of motion of the Pacific plate in cm per year = 473 Km / 5.1 million = 473 × 1000 × 100 cm / 5100000 = 9.27 cm  per year

a substance in a physical state in which it does not resist change of shape and will expand indefinitely to fill any container.

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the answer is the last option or letter d)