al Create a scatter plot of the data. (b) Draw a smooth curve through the peints.
Instructions: On a separate piece of paper complete the following problems. Put your name and period on both pieces of paper, staple them and tum in. Show your work!!! Predicting Tides The highest tides in the world can be found at the Bay of Fundy in Canada. One popular sile is Hopewell Rocks that has an average high tide of about 3 feet above the chart datum. A chart datum is the level of water that charted depths displayed on a nautical chart are measured from. On January 29, 2021 high tide will occur at 10:16 A. M. CST at a depth of 41.0 teet. Letz be high tide and it be the depth above the chart datum in feet. The following table was created by using the rule of the twelfths. Source: www thehopewellrocks.cal tableli, 0, 1, 2, 1, 1,5,6,7,8,9,10,11,136.41.0 380, 313, 108, 117, 14, 46, 14, 137, 258, 11.9, 350, 41.0 al Create a scatter plot of the data. (b) Draw a smooth curve through the peints. (c) Write an equation for fi in terms of sine and cosine. (id) At what time does low tide occur? (el Using the model found in partic, interpolate the depth of the tide at 4: P.M. CST on January 21, 2001. Round to the nearest tenth. If The actual depth of the tide at 15 P.M. CST on January 21 2021 is 40 feet. Why does your answer on le differ from the actual Tidal Cart? (g) Using the model found in partc extrapolate the depth of the tide al 11:47 A M. CST on January 11, 2011. Round to the nearest tenth. h) The actual depth of the tide at 11:11 AM CST on January 31, 2011 is 410 feet. Why does your answer on le differ from the actual Tidal Cart? || Why is the prediction on (e more accurate then the prediction on in?
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