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The London Eye is a Ferris wheel in London, England. Instead of seats, visitors

ID: 3139008 • Letter: T

Question

The London Eye is a Ferris wheel in London, England. Instead of seats, visitors ride in capsules which they enter and exit at the lowest point of the ride. The graph below models the height of a particular capsule over the course of a ride.
Please answer questions 5 and 6. Thank you! 5. The London Eye is a Ferris wheel in London, England. Instead of seats, visitors ride in capsules which they enter and exit at the lowest point of the ride. The graph below models the height of a particular capsule over the course of a ride. 10s E 90 75 60 45 301 30 time (min) 60 State the value of each characteristic of the graph above and explain what it represents in the context of the question. i) amplitude (2 marks) a. ii) period (2 marks) ii) y-intercept (2 marks) iv) midline (2 marks) v) range (2 marks)

Explanation / Answer

5a) amplitude = 135 - 15 / 2

= 60

b) period = 30

c) y intercept = ( 0 , 15)

d) midline is 15 + 120/2 = 15 + 60

y = 75

e) range is [ 15 , 135 ]

b) equation

2 pi / b = 30

b = pi/15

h = 60 sin ( pi/15 t - 1.58 ) + 75

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