The function f (x) varies inversely with x and f (x) = 1.6 when x=0.5. what is f (x) when x=3.2

Question

Mathematics

Maverick Barry

25 May, 10:45

The function f (x) varies inversely with x and f (x) = 1.6 when x=0.5. what is f (x) when x=3.2

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Answers (1)

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Chana Booth · Answer 1

Hello from MrBillDoesMath!

Answer: f2 (3.2) = 1.4

Discussion:

f2 (x) varies inversely with x means that f2 (x) = k/x where "k" is a constant.

As f2 (x) = 1.6 when x = 0.5 substitution gives

f2 (.5) = 1.6 = k / (.5) = k / (1/2) = 2k

so k = 1.6/2 =.8

(end of part 1)