The total number of passengers on any given day, for an average.ģ. The number of capsules on a given day could be filled with passengers.Ģ. Given the answers to Tasks 4 and 5, determine the total ticket sales made on a given day.ġ. Given the answer to Task 4, find the total number of passengers, on average, that will take a ride on the Ferris Wheel in a day. On average, 4.8 passengers, on any given day, will embark on a capsule each time. Note, it is possible that the final passenger(s) may embark the capsule prior to 10 pm, so the answer to this task may not be 10 pm + 6x.Įvaluate the number of capsules that will have a passenger(s) embark for any day, given the Ferris Wheel will commence at 4 pm and the time for passenger(s) to embark and disembark is considered negligible. Present these heights in table form, with appropriate labelling.ĭetermine the time when the final passenger(s) will disembark the capsule and the Ferris Wheel cease for the evening (remember that the final passengers will embark no later than 10 pm). What are the minimum and maximum height of a capsule on the Ferris Wheel?ĭetermine the heights of each of the capsules on the Ferris Wheel while passengers either embark or disembark a capsule. Mr and Mrs Spin would like you to do the following mathematical analysis and present the results in a report for their consumption. y is equal to the month that you are born plus 6 (e.g. x is equal to the third digit of your id plus 3 (e.g. a=14) b is equal to the last digit of your student id plus 2 (e.g. The variables a, b, x and y are as follows: a is equal to 14 (i.e. It is modelled by □(□) = □ − □cos (□/ □) A passenger pays 3y dollars for a ride on the wheel. The height h, in metres, from the ground to a capsule, is measured from the ground to the ball on top of any capsule. The Ferris Wheel runs in an anti-clockwise direction. The process repeats until the final passenger(s) embark at no later than 10 pm each evening. The time for a passenger to enter the capsule and return to the platform is 6x minutes. Passengers embark and disembark the capsule from the platform (a maximum of 6 passengers are allowed at any given time). Below is a diagram showing their magnificent wheel: A passenger sits in a capsule and enjoys the ride and views. Mr and Mrs Spin operate a Ferris Wheel at various shows and carnivals. Which means that lim f (x) does not exist. Lim f (x) + +co, since lim f (x) = + 0 + lim f (x) = 1, So, f is a positive function with vertical asymptote x = 5 but Then lim f (x) = +00, and therefore, X = 5 is a vertical asymptote. Since f continuous on [1, 3), f(1) = 0 5. Iff and g are two functions defined on (-1, 1), and if Since >1, ris not in the domain of sin-? | Then the point (5,2) lies on the graph of f. If the point (2, 5) lies on the graph off, (18 pts) Circle True if the statement is ALWAYS true Ĭircle False otherwise. Check answer key and turn in when you're finished.5. In-Class Activity: Complete the exercises 9-14 on pg 219. Triangle KLJ is mapped to triangle NPM by a similarity transformation therefore they're similar. A dilation centered at point P with a scale factor of k = v/t maps point K to point N and point J to point M. Learning Check: Triangle KLJ is similar to triangle NPM iff there is a similarity transformation that maps one onto the other. A similarity transformations maps square ABCD to square EFGH therefore they are similar. Angle measures are preserved in all transformations. Then a dilation centered at point E with a scale factor of k=2 maps point B to point F, point C to point G, and point D to point H. Recall that square ABCD is similar to square EFGH iff there is a similarity transformation that maps one onto the other. Check answer key and turn in when you're finish. In-Class Activity: Complete exercises 3 – 6 on page 219.
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