<p>Math 65. Section 3.6</p><p>I. Review</p><p>A. Give examples of equations for each of the following functions:</p><p>1. Linear: ______</p><p>2. Quadratic:______</p><p>3. Square Root: ______</p><p>4. Exponential: ______</p><p>B. Label each of the following graphs as linear, quadratic, square root or exponential.</p><p></p><p>  </p><p>   </p><p>   </p><p>   </p><p>                    </p><p>           </p><p>             </p><p>   </p><p>    </p><p> II. General information about exponentials (8 characteristics to know):</p><p>1.</p><p>2.</p><p>3. M65, Sec. 3.6 pg 2 4.</p><p>5.</p><p>6.</p><p>7.</p><p>8.</p><p>III. Applications:</p><p>A. Given the model (equation) use it correctly to answer questions:</p><p>Ex. 1: A bacteria colony starts with 1000 bacteria and grows according to the following model, where t is the number of elapsed hours and P(t) is the population at time t. t P( t ) = 1000( 1.12) a) What was the starting number of bacteria? ______b) What is the base? ______. This indicates it is a growth/decay. c) Predict the number of bacteria after 10 hours: d) Predict the number of bacteria after 60 hours (2.5 days): M65, Sec. 3.6, pg 3 B. Given the information, organize it and come up with the model (equation) that describes the situation:</p><p>Ex. 2: The population in the US in 1995 was about 263 million. The growth rate was about 0.7% per year (less than 1 percent). Let t=0 represent 1995.</p><p> year</p><p> t</p><p> population (mils)</p><p>Find a model (equation) that fits this situation and use it to predict the population in 2005.</p><p>Ex. 3: In 1990, India had a population of 853.4 million. In 1991 the estimated population was 871.3 million. Assuming that populations grow exponentially, fill in the following table. Find a model to represent this situation. (Round your base to three decimal places). Use your model to predict the population for the year 2010 (round to the nearest tenth of a million).</p><p> year</p><p> t</p><p> population (mils) M65, Sec. 3.6, pg 4 Ex. 4. Atmospheric pressure at sea level is 14.7 psi (pounds per square inch). The atmospheric pressure drops exponentially as we move above sea level. At 1 mile above sea level the pressure is 14.4 psi. Fill in the following table and use it to find a model that represents this situation. (Round your base to 4 decimal places.) Use your model to predict the atmospheric pressure at the peak of Mt. Everest (about 5.5 miles above sea level).</p><p> altitude (miles) pressure (psi)</p>