MCR3U - Cycle 3: The Applications of Functions Date: Applications of Exponential Functions HW A bouncing ball rebounds to hall its height on each bounce. The boll was dropped from a height of 500 m. How rich would ` bounce offer it hit the ground for the filth fimmelt 2. Rod um hai a no tile of 1400 year. A sample contains 160 unit of rociooclive rod um. al How long would It love for radium to decay to 10 unlier b] Approximately how long would it lake to decay to low thon 2.5 units 3, An antique costi $500 and its value is increasing by 2010 each your, The volve, y, of the onlique offer : your h given by the equation y = 500(1 201- of what are the poulble values of * and y? by hi the on Increating or decoding function# c) What is the value of the antiong after 15 yoon! 4. In a steel mi red hot slabs of steel ore pressed mony timei between heavy rollen. The Job is 2 m long I length ingoosen by 20% ofter every thid pok: Incough the rollon, How long will the sob be offer 31 passos? 5. Alter every fon popes of printing. the ribbon in a printer losses about 0.5% of its ink. Approximately, how mony popes can be printed before the ink content isreduced to 75% of its original contents 6, On each bounce, a bol thes to 70% of the height from which " fe, How many bounces will it lake unil the bol thes to only 0.13:of the height from which In b dropped It takes 45 hours for + of a highly radioactive sodium holope to decay. What is the hollife of this botope? 8. A car depreciates at 18% par year, How long unil it ha worth holl of its valves #. For every metre below the surface of water, the Interaity of blue light is reduced by 2.5%%. At what dopin will the Eight be only Is of the intendity of the pudocol, 10. Gil Secondary School Fiat a capacity of 1600 students. The school is growing at a rate of 5% per year. In October 2012. the school population is of 1150 students, o] White an exponersol function to model the growth of the school population. Define each variable. bj We the model to predict the population in 2 years, When would the school reach its capacity? (Comment to your and month] dj what was the original student body population in 20057 Solutions: 1. 15.6 m 2. 0 4400 yoon DJ offer 7600 years 3, o) x he greater and equal to bale your y is greater than and equal to $500 DJ Incrocsing C) $7 703.51 4 13.2 m 5. 574 Potter every 10 pogoth 7. 15 hours 8. 4 yeah. 3 months 9: 162 m 10. o] P . 1 150(105]. Prepresents the school's population, x represents time in year b) 1257 88 + 1268 students In 2 your cj 6 77 + 6 years and 9 months [2012 - 6yrs & "minaj, therefore in July of 2019 dl 817 28 + original student population in 2005 was 817 students