Question

solving problems with functions
11.5874 5
exponential functions in context
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the graph shows the amount of sunlight that can reach depths in the ocean or other bodies of
water. using the graph, determine the amount of sunlight that can be absorbed by a person
floating on top of the water.

Explanation:

Step1: Understand the graph

The x - axis represents depth (in meters), and the y - axis represents the percentage of sunlight that remains. When a person is floating on top of the water, the depth \(x = 0\) meters.

Step2: Locate the value at \(x = 0\)

Looking at the graph, when \(x=0\) (the surface of the water), the value on the y - axis (percentage of sunlight that remains) is \(70\%\).

Step3: Calculate the absorbed sunlight

The total sunlight is considered as \(100\%\). The formula to find the absorbed sunlight \(A\) is \(A=100 - R\), where \(R\) is the percentage of sunlight that remains. Substituting \(R = 70\%\) into the formula, we get \(A=100 - 70\).

Answer:

\(30\%\)