SOLUTION: f-stop and aperture diameter the relative aperture or f-stop for a camera lens is inversely proportional to the diameter of the aperture an f-stop of 2.8 corresponds to an apert

Algebra ->  Rational-functions -> SOLUTION: f-stop and aperture diameter the relative aperture or f-stop for a camera lens is inversely proportional to the diameter of the aperture an f-stop of 2.8 corresponds to an apert      Log On


   



Question 1134894: f-stop and aperture diameter
the relative aperture or f-stop for a camera lens is inversely proportional to the diameter of the aperture an f-stop of 2.8 corresponds to an aperture diameter of 75 millimeters for a certain telephoto lens
a. find the equation that relates f-stop and diameter
b. graph the equation from part a. in the first quadrant only.
c. what aperture diameter corresponds to an f-stop of 5.6

Answer by Alan3354(69443) About Me  (Show Source):
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the relative aperture or f-stop for a camera lens is inversely proportional to the diameter of the aperture an f-stop of 2.8 corresponds to an aperture diameter of 75 millimeters for a certain telephoto lens
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a. find the equation that relates f-stop and diameter
f = k/d
2.8 = k/75 --> k = 210
f = 210/d
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b. graph the equation from part a. in the first quadrant only.
Use d for the x-axis, f for the y-axis
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c. what aperture diameter corresponds to an f-stop of 5.6
5.6 = 210/d
d = 210/5.6
d = 37.5 mm