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Unformatted text preview: 3 5 x + 750 = 1000 5 x = 250 x = 50 . 4. Find C and a such that the function f ( x ) = Ca x satisﬁes the given conditions. f (0) = 7 and for each unit increase in x , the output is multiplied by 3.4. Solutions. We build this problem up from x = 0. So we begin by noting that f (0) = 7, so we see that f (0) = Ca = C = 7 . So we see that C = 7. Now we have that f (1) = f (0) · 3 . 4, which follows as f (1) = f (0) · 3 . 4 = 7 · 3 . 4 Now we compute f (2) and we ﬁnd that f (2) = f (1) · 3 . 4 = 7 · 3 . 4 · 3 . 4 = 7(3 . 4) 2 Before we jump to a conclusion here, we should try one more case. And we see that f (3) = f (2) · 3 . 4 = 7(3 . 4) 2 · 3 . 4 = 7(3 . 4) 3 Thus we see that f ( x ) = 7(3 . 4) x ....
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 Fall '08
 HITCHCOCK
 Math, Addition, Multiplication, Expression, Slide rule

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