Primitive recursive and Turing machines

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Can someone give me a hint or the start of a possible proof for the following theorem:

A function $f: \mathbb{N}^r \rightarrow \mathbb{N}$ is primitive recursive if and only if there is a primitive recursive function $t:\mathbb{N} \rightarrow \mathbb{N}$ and a $t(n)$ time bounded Turing Machine $M$ that computes the function $f()$.

Any help will be much appreciated!!