Inflation models based on scalar-tensor theories of gravity are formulated in
    the Jordan frame but most often analysed in the Einstein frame. The
    transformation between the frames is not always desirable. In this work we
    formulate slow-roll conditions in the Jordan frame. This is achieved by
    comparing different background quantities and approximations on the same
    spatial slice in both frames. We use these approximations to derive simple
    equations that can be applied to compute inflation model observables in terms
    of Jordan frame quantities only. Finally, we apply some of the results to
    analyse generalised induced gravity models and compare them with the latest

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