SOLUTION: You want to photograph the moon over a lake at night. your camera allows for time exposures of up to 10s in half-second increments, and the lens has 7 aperture settings, or f/stops

Algebra ->  Test -> SOLUTION: You want to photograph the moon over a lake at night. your camera allows for time exposures of up to 10s in half-second increments, and the lens has 7 aperture settings, or f/stops      Log On


   



Question 1109113: You want to photograph the moon over a lake at night. your camera allows for time exposures of up to 10s in half-second increments, and the lens has 7 aperture settings, or f/stops. How many different ways could you set the exposure for the photograph?

Class: Grade 12 Data Management

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you have 10 / (1/2) = 20 time settings.
you have 7 aperture settings.

the total number of different ways you could set the exposure for the photograph would be 20 * 7 = 140.

to see how this works, assume only 3 time settings and 2 aperture settings.

let the time settings be 1,2,3
let the aperture settings be f1, f2

total exposure setting would be 3 * 2 = 6.

they would be:

1f1, 1f2, 1f3
2f1, 2f2, 2f3

the same logic applies for 20 time settngs and 7 aperture settings, but there would be 140 of them, rather than just 6 in our example.

with time setting of 1/2 second, your aperture settings could be f1, f2, f3, f4, f5, f6, f7.

with time setting of 1 second, your aperture settings could be f1, f2, f3, f4, f5, f6, f7.

etc....., in time setting of 1/2 second increments up to a time setting of 10 seconds.

a time setting of 0 seconds is not included, since that would not be possible.

the lowest time setting is therefore 1/2 second and the highest time setting is 10 seconds.