Modeling trigonometric functions Quiz Welcome to your Modelling trigonometric functions Quiz Solve the problem A Ferris wheel has a radius of 12 m and its lowest point is 1 m off the ground.The wheel makes a complete rotation within 2 minutes.Which equation best models the situation? \[f(x)=-12cos(πx)+13\] \[f(x)=-12sin(πx)+13\] \[f(x)=-12cos(2x)+13\] Solve the problem The following equation represents the relationship between the depth of water (high/low tide) and the time when it occurs. At what time does the low tide occur (starting from 0 hours: midnight)?\[d(t)=2cos(\frac{π}{4}(t-4))+4\] 4 am 6 am 10 am Solve the problem A city averages 14 hours of daylight in June, 10 in December, and 12 in March and in September. The number of hours of daylight overtime is a periodic function. If t is in months and t = 0 corresponds to the month of January.What is the average amount of daylight hours in August? 6 hours of daylight 13 hours of daylight 10 hours of daylight Solve the problem A city population rises and falls periodically based on the equation below. P(t) is the population and t is the years since 1980. What was the population in 2010?\[P(t)=8000sin(0.628t)+12000\] Population = 4413 Population = 20000 Population = 11924 5 out of 4 Time is Up! Time's up