Math 120 Unit 3 Project The directions for this assignment are inside the course. 2) 3) 4) Suppose you are a microbiologist studying a type of bacteria. The growth of this type of bacteria can be exponentially modeled with the equation 3.! =3000em'asr where y represents the number of bacterial cells present at any time t (in minutes). a. what does the number 3000 represent in this model? b. How many minutes will it take to reach 200,000 bacterial cells? Round to the nearest minute. A DVD released in the year 2001 sold quickly at first, but then sales slowed as time moved on. The number of DVDs sold y [in thousands) are given by the logarithmic model y=374+12.5lnx, where x = 1 is the year 2001. a. How many DVDs were sold in the year 2001? How does that relate to the logarithmic equation? b. In what year were 400,000 DVDs sold? Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used? Solve the system of equations algebraically using substitution or addition/elimination: y = x2 10x 70 3x y = 22