A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 5 minutes, and at time t=0 you are at the 3 o'clock position and ascending. Let f(t) denote your height (in meters) above ground at  minutes. Find a formula for f(t).

During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)

(UT) When you board a Ferris wheel moving counter- clockwise at a constant rate, your feet are 4 feet off the ground. At the highest point of the ride, your feet are 88 feet above the ground. It takes 220 seconds for the ride to complete one full revolution. Circle the correct values to create the correct function to model this situation, where t is time elapsed in seconds and h is height above the ground in feet. h (t) = c±a cos(bt) c = [ Select ] rt ±= [Select] a = [ Select ] b = [Select ]