As light passes through water, its intensity decreases exponentially with the depth of the water. The data below shows the light intensity (in lumens) at various depths. Depth (ft) Lumens 3 11.5 6 8.6 9 6.7 12 5.2 15 3.8 18 2.9 Let y represent the number of lumens at a depth of a feet. • Linearize this data and create a table of the semi-log data, i.e. the (x, ln(y)) data OR the (x, log(y)) data (your choice). . Find the linear regression equation for the semi-log data. • Use your semi-log equation to find an exponential model for y. Use your exponential model to predict the light intensity (number of lumens) at depth of 29 ft.

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