The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer: 2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? (b) What is the position of that passenger when the ride ends?

The gas mileage of a car (in miles per gallon) is highest when the car is going about 45 miles per hour and is lower when the car is going faster or slower than 45 mph. Graph gas mileage as a function of speed of the car.

The graph below shows the depth of water for the cycle of tides in Boston. Determine an equation for the graph. Use your equation to find the depth of water at 2 pm.

Sketch the graph of the function y = |x? - 25|.

Which graph represents a one-to-one function?

Section 4: Functions A plant is already 14 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M. Then graph your equation using the axes below.

The graph shows the depth in feet of the water in Discover Bay over the course of a particular day. During this day, Discover Bay experienced high tide three times. At what time would you expect the first high tide to occur the following day?

Draw a graph that pictures the following situation. Identify the independent and dependent variables. Determine the intervals on which the dependent variable is increasing, decreasing, or constant. A woman left her office at 7:30 to attend a meeting. After walking for 3 minutes, she realized she forgot her notes and returned to get them. She picked up her notes and resumed her walk to the meeting, arriving at 8:00. After 14 minutes, the meeting was over and the woman returned to her office. Assume that the woman walks from the place of the meeting back to her office at the same speed with which she walks from her office to the place of the meeting after picking up her notes. Draw a graph that pictures the given situation. Choose the correct graph below. OA. OB. Oc. OD. AD AC Identify the independent and dependent variables. O A. The independent variable is the time t and the dependent variable is the distance D. O B. The independent variable is the distance D and the dependent variable…