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At that same gradient, the depth at which rock reaches 200 degrees is about

  • A.20 km
  • B.3 km
  • C.6 km
  • D.7 km

Answer: C

Correct answer: 6 km

\[ z = \frac{200 - 20}{30} = 6\ \mathrm{km}. \] The linear extrapolation is reasonable within the upper crust but not beyond it - the gradient decreases substantially with depth, so applying this arithmetic to tens of kilometres gives temperatures far above the truth.

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