1) Tom went to the fair with $200. Tickets for the rides at the fair cost $50 each. Each ride at the fair costs 1 ticket. Write an expression that describes how much money Tom has after going on n rides? 2) Find the average rate of change from 1910 to 1950 for the following table: Year 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 Pop. 76.2 92.2 106.0 123.2 132.1 151.3 179.3 203.3 226.5 248.7 3) The polynomial f (x)=0.005 x 4 +0.130 x 30.54 x 2 +1.69 x measures the Concentration of a dye in the bloodstream x seconds after it is injected. Does the Concentration increase or decrease between 11 and 12 seconds? 4) A freshly baked pie is taken out of a 385F oven and set out to cool in a room that is at 70F. The temperature T ( t) of the pie t minutes after the pie is removed from the oven is given by Determine how many minutes it will take for the pie to cool to 120 degrees. 5) Compute the average rate of change for f ( x )=3 x8 for x 1=3 6) Where is the function in the graph below increasing and decreasing? to x 2=1. 7) A rock is propelled upward from the top of a building 140 feet tall at an initial velocity of 120 feet per second. The function that describes the height of the rocket in terms of time t is First the rock will rise, but then gravity will overcome it and it will fall to the ground. a) How many seconds will it take to reach the ground? b) How high will the rock be after 2 seconds? 8) A rectangular Persian carpet has a perimeter of 132 inches. The length of the carpet is 6 inches more than the width. What are the dimensions of the carpet? 9) Solve the following equation symbolically: 12 x(3 x1)=19 10) Suppose you invest $3000 in a certificate of deposit (CD) that pays simple interest of 8.0%. Determine the value of the CD after 12 years. 11) How many times does the graph of f ( x )=x 25 x+ 6 intersect the x-axis? 12) Solve the following equation using the Intersection of Graphs Method. Round solution to the nearest hundredth. 13) Using the graph of f (x) below, find f (4). 14) If m ( T )= 25 T 12 2 then find m ( 4) . 15) Solve the equation symbolically. 1 5 R R=2 3 6 16) The height above sea level H, in meters, of a rocket at time t , in seconds, is modeled by the function H=f (t)=1000+1.6 t . Find a) the height after 80 seconds b) the time it takes to reach a height of 1600 meters 17) A semicircle of radius Y sits on top of a rectangle of width for the area of the entire yellow combined figure. Y Y Y . Find an expression