The rate for parking in the short-term lot (maximum of 12 hours) at the seaport is $1.50 for the first hour plus $1.30 for each additional hour or part thereof, with a maximum cost of $8.00. The function for the cost of parking in this lot for thours (up to 12 hours) is Step 1 of 6: Find lim C(t). 1-2 Answer C(t) = 1.5 2.8 4.1 5.4 6.7. 8 if 0 < t < 1 if 1 < 1 ≤ 2 if 2 < t < 3 if 3 < 1 ≤ 4 if 4 < 1 ≤ 5 if 5 < t < 12 Keypac Keyboard Shortcu Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. O Does Not Exist

Daphne and Velma want to investigate an abandoned lakehouse on an island that is 700 m directly across from the shoreline. They are standing on the shoreline at a position 1.2 km from the point on the shore that is closest to the island. If they can walk 2.5 km/h and canoe 4 km/h, determine the function needed to find how far up the shoreline they should walk before canoeing in order to get to the island in the shortest possible time.  Also: a) Draw a fully labelled diagram. b) State the restrictions for this problem.

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)

for the graph of the function f (x) =-2 . (1/3) ^x+4 , find each tarnsformation , streach , compression and / or reflection of the function f base from its base graph g(x) = (1/3)^x . Also find the domain D, the range R and the asymptote A of the graph of F.   A. left 4, vertical stretch by a factor of 2, reflection about the y-axisD: (–∞, ∞)R: (–∞, 0)y = 0 B. left 4, vertical stretch by a factor of 2, reflection about the x-axisD: (–∞, ∞)R: (–∞, 0)y = 0 C. left 4, vertical stretch by a factor of 2, reflection about the x-axis,D: (–∞, ∞)R: (0, ∞)y = 0 D. left 4, horizontal stretch by a factor of 2, reflection about the x-axisD: (–∞, ∞)R: (–∞, 0)y = –4