Use what you know about trigonometric functions to help Molly and her friends decide which route they should sail on, and which boat they should take. Support your answer using the graphs of the trigonometric functions; identify the key features of those graphs in relation to this scenario. Provide screenshots of the graphs as needed and show any mathematical calculations to make as part of your response. Use complete sentences and paragraphs in your answer.
Use what you know about trigonometric functions to help Molly and her friends decide which route they should sail on, and which boat they should take. Support your answer using the graphs of the trigonometric functions; identify the key features of those graphs in relation to this scenario. Provide screenshots of the graphs as needed and show any mathematical calculations to make as part of your response. Use complete sentences and paragraphs in your answer.
Use what you know about trigonometric functions to help Molly and her friends decide which route they should sail on, and which boat they should take. Support your answer using the graphs of the trigonometric functions; identify the key features of those graphs in relation to this scenario. Provide screenshots of the graphs as needed and show any mathematical calculations to make as part of your response. Use complete sentences and paragraphs in your answer.
Use what you know about trigonometric functions to help Molly and her friends decide which route they should sail on, and which boat they should take. Support your answer using the graphs of the trigonometric functions; identify the key features of those graphs in relation to this scenario. Provide screenshots of the graphs as needed and show any mathematical calculations to make as part of your response. Use complete sentences and paragraphs in your answer.
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Weekend Vacation Discussion V
< 9 of 9
How well can you explain the concepts you've learned so far?
Molly and her friends are planning a weekend vacation to an island that is about 90 minutes away. They have purchased tickets to a concert
and a local food tasting that only happens once each year. These tickets are non-refundable.
After reading about the expected conditions on the water, Molly realizes she and her friends will need to sail through some rough waters. She
has mapped out the two best routes; the height of the waves, in feet, on Route 1 can be modeled by f(x) = -9 cos ( (x – 3) + 8). The
- 15 cos ( (x – 15) + 10). For both functions that value of x is
15
height, in feet, of the waves on Route 2 can be modeled by g(x)
24
measures the number of minutes since the boat has left shore. Molly expects the water traffic to be heavier along Route 2.
Molly is nervous about sailing through these waters in her current watercraft, which is a 24-foot cabin cruiser. This craft has a completely
enclosed pilot house that allows Molly to stay out of the elements as she drives the boat. It also has a completely enclosed cabin that will let
her friends stay warm and dry on the trip. But it is not the most maneuverable in rough waters. Molly knows that her boat can easily handle
waves that have a height less than or equal to about - of the boat's length. One of Molly's friends suggests that she borrow her uncle's boat.
It is 30 feet long but it does not have an enclosed area for the guests or the pilot; it has only a canopy that covers the piloting area.
Discussion
Use what you know about trigonometric functions to help Molly and her friends decide which route they should sail on, and which boat
they should take. Support your answer using the graphs of the trigonometric functions; identify the key features of those graphs in
relation to this scenario. Provide screenshots of the graphs as needed and show any mathematical calculations to make as part of your
response. Use complete sentences and paragraphs in your answer.
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Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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