The shutter speed, S, of a camera varies inversely as the square of the aperture setting, f. When f=8, S=125. How do you find a formula for S in terms of f?

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Answer 1 · 2017-04-25T13:55:07

I got: #S(f)=8000/f^2#

We can try using:
#S(f)=A/f^2#
where #A# is a constant that we need to find.

We use the fact that when #f=8# then #S=125# in the above formula:

#125=A/8^2#

rearranging:

#A=125*8^2=8000#

So our function is:

#S(f)=8000/f^2#