Word problems modeling periodic functions Quiz Welcome to your Word problems modeling periodic functions Quiz Please click "Next" Solve the problem A Ferris wheel has a radius of 8 m and makes one complete rotation in 1 minute. The bottom of the Ferris wheel (where riders get on) is 1 meter off the ground.What equation best matches the scenario? Express as a cosine function of height (in meters) over time (in minutes) starting at the bottom of the Ferris wheel. h = 8cos(360t) + 1 h = -8cos(360t) + 1 h = -cos(360t) + 9 Solve the problem In the Bay of Fundy tides rise 6.5 m above sea level and drop 6.5 m below sea level. One cycle is completed every 12 hours. The height of the tide over time can be modeled by a sine function starting at the sea level. Which equation best matches the scenario? h = -6.5sin(12t) h = sin(30t) + 6.5 h = 6.5sin(30t) Try this challenge Create an equation for a periodic function with a period of 5, a minimum point of – 3 at x=1 and anamplitude of 7 f(x) = 7cos(x - 3.5) + 4 f(x) = 7sin[72(x - 2.25)] + 4 f(x) = 4sin[72(x - 2.25)] + 7 Solve the problem The average monthly temperature in one region of Thailand can be modeled by an equation T = 23cos(30t) + 9Where T is the temperature in ºC and t is the time in month (January being t=0).How frequently does the temperature repeat? every 6 months every 30 months every 12 months Solve the problem The average monthly temperature in one region of Thailand can be modeled by an equation T = 23cos(30t) + 9Where T is the temperature in ºC and t is the time in month (January being t=0).What is the maximum temperature reached in that region? 32ºC 23ºC 14ºC Time is Up! Time's up