Stellar Magnitude Relative Brightness 1 2 100 3 4 40 16 6.3 2.5 1 a. Find an equation that gives the relative brightness in terms of stellar magnitude. b. Use this equation to find the relative brightness of a star with magnitude 9.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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5. Astronomers classify stars according to their brightness by assigning them a stellar “magnitude." The higher the magnitude
the dimmer the star. The dimmest stars visible to the naked eye have stellar magnitudes of 6. The table below shows the
relative brightness of different stellar magnitudes.
Stellar Magnitude
Relative Brightness
1
2
3
4
100
40
16
6.3
2.5
1
a. Find an equation that gives the relative brightness in terms of stellar magnitude.
b. Use this equation to find the relative brightness of a star with magnitude 9.
(SHOW WORK)
Transcribed Image Text:5. Astronomers classify stars according to their brightness by assigning them a stellar “magnitude." The higher the magnitude the dimmer the star. The dimmest stars visible to the naked eye have stellar magnitudes of 6. The table below shows the relative brightness of different stellar magnitudes. Stellar Magnitude Relative Brightness 1 2 3 4 100 40 16 6.3 2.5 1 a. Find an equation that gives the relative brightness in terms of stellar magnitude. b. Use this equation to find the relative brightness of a star with magnitude 9. (SHOW WORK)
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