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Question 930:

Consider the ibuprofen function I(t) = 210110tt. I is in mg of ibuprofen and t is in hours.
1. Use the FACTORING method to find the t-intercepts (Let I = ____). Show all work for full credit. Write a sentence to interpret what these values mean to the ibuprofen problem.
2.Find the Vertex of the ibuprofen function. Show all work for full credit. Write a
sentence to interpret what the vertex means to the Ibuprofen problem.
Plot your t-intercepts from #1 above, your vertex from #2 above and the I-intercept from the function I(t) given above on an appropriately scaled axes (please label the scale and your points. Graph the practical part of the function I(t).
4)Use your graph to give the domain and range of the function I(t). Include variable
names.
5. The distance (D) that an object falls is directly proportional to the square of the time (T) that it takes to fall that distance. If a baseball falls 147 feet in 3 seconds,
(a) Find the model that relates D and T. Show all work.
(b) Use your model in part (a) to find the time it takes for a penny to fall from the top of the Sears Tower in Chicago, which is 1451 feet tall. Show all steps and write a sentence to summarize your findings.

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