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Grade 11 Exponents CCSS: HSF-LE.A.4
The intensity of light passing through a thick fog decreases exponentially. The function [math]I(d)=I_0⋅10^(−cd)[/math] models the intensity I (in lumens) at a distance d (in meters) from the source, where I_0 is the initial intensity. A lighthouse beacon with an initial intensity of 1200 lumens has its intensity reduced to 120 lumens at a distance of 150 meters from the lamp. At what distance from the lamp will the intensity be reduced to a barely visible 5 lumens?
- 285 meters
- 325 meters
- 375 meters
- 410 meters
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