<PRE><B>Question 1193502</B>
&lt;br&gt;
H(n) is the number of slices she can eat in n minutes.&lt;br&gt;
We are told that she can eat 7 slices in 0 minutes: H(0)=7&lt;br&gt;
(Note that that piece of given information is nonsense... she can&#39;t eat 7 slice &quot;immediately&quot; -- i.e., in zero time....  But we must go ahead with the problem as stated, regardless of the absurdity.)&lt;br&gt;
We are also told that she can eat 16 slices of ham in 3 minutes: H(3)=16&lt;br&gt;
The function is linear, of the form H(n)=an+b.&lt;br&gt;
Given H(0)=7, we know b=7: H(n)=an+7&lt;br&gt;
And given H(3)=16, we know
16=a(3)+7
9=3a
a=3&lt;br&gt;
and so&lt;br&gt;
H(n)=3n+7&lt;br&gt;
That&#39;s the answer to part (A); I leave it to you to use the formula to answer parts B and C&lt;br&gt;
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