Chris, and her friends enjoy roller coasters. Whenever a new roller coaster opens near their community, they try to be among the irst to ride. One Saturday, they decide to ride a new coaster built in Marikina Riverbanks. While waiting in line, Chris notices that part of this coaster resembles the graph of a polynomial unction that they have been studying in their Math 10 class.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 1P
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"POLYNOMIAL RIDE!"
Situation:
Chris, and her friends enjoy roller
coasters. Whenever a new roller coaster opens
near their community, they try to be among the
first to ride.
One Saturday, they decide to ride a new
coaster built in Marikina Riverbanks. While
waiting in line, Chris notices that part of this
coaster resembles the graph of a polynomial
function that they have been studying in their
Math 10 class.
Irage Sauce Enduried Krgtan gek phigares phats oedtte
2. Graph the polynomial function where the height (h(t) of the roller coaster
is located on the y-axis and t is on the x-axis. Label your graph correctly.
Use a graphing paper. (20 pts.)
Table of Values: h(t) = 0.31 - 5t2 + 21t
6
7 8 9
10
10
2
3
4
h(t)
24.4
17.5
4.9
1.6
3. Find the height of the coaster att = 0 seconds. Explain why this answer
makes sense. (3 pts.)
4. Evaluate h(60). Does this answer make sense? Is there a roller coaster
ride at this height? CLEARLY EXPLAIN your reasoning.
(Hint.: Mt. Everest is 29,028 feet tall.) (5 pts.)
Transcribed Image Text:"POLYNOMIAL RIDE!" Situation: Chris, and her friends enjoy roller coasters. Whenever a new roller coaster opens near their community, they try to be among the first to ride. One Saturday, they decide to ride a new coaster built in Marikina Riverbanks. While waiting in line, Chris notices that part of this coaster resembles the graph of a polynomial function that they have been studying in their Math 10 class. Irage Sauce Enduried Krgtan gek phigares phats oedtte 2. Graph the polynomial function where the height (h(t) of the roller coaster is located on the y-axis and t is on the x-axis. Label your graph correctly. Use a graphing paper. (20 pts.) Table of Values: h(t) = 0.31 - 5t2 + 21t 6 7 8 9 10 10 2 3 4 h(t) 24.4 17.5 4.9 1.6 3. Find the height of the coaster att = 0 seconds. Explain why this answer makes sense. (3 pts.) 4. Evaluate h(60). Does this answer make sense? Is there a roller coaster ride at this height? CLEARLY EXPLAIN your reasoning. (Hint.: Mt. Everest is 29,028 feet tall.) (5 pts.)
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