Use the best-fitting exponential model to determine the answer to each question. (For problems using calendar years, “reset the clock” so that t = 0 in the year for which you first have data.)
Exercise
In a certain lake the intensity I of light beneath the surface is a naturally declining function of the depth x in feet. The following table gives I as a percentage of the intensity of light at the surface:
Depth x (feet) | 0 | 5 | 10 | 15 |
Intensity I (%) | 100 | 60 | 35 | 20 |
How deep would you have to dive in this lake so that the light intensity there will be 1% of the surface intensity?
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