Colleen MaguffinProfessor FaulknerExam 2 Test Review*Remember to study everything and not just the questions provided here. Please come to the test review Sunday night and we will go over every question on this Practice Exam.*To study for the exam be sure to look over the testable questions. All exam questions come from the book or are very similar! Testable Questions:1.8: (17-24)2.1: (7-32)2.2: (9-16, 25-34)2.3: (23-64)2.4: (1-3, 5, 6, 13-40)2.6: (21-30) most likely a concentration problem2.7: (17-22, 27-32) 3.1: (23-36)3.2: (5-36)3.3: (13-22) make sure you know how to do the chart questions3.4: (29-34, 38)Section 1.81. A tee shirt company makes tee shirts with school logos. The company charges a fixed fee of $200 to set up the machines plus$3.50 per tee shirt.a) Find a function C that models the cost of purchasing x tee shirts.b) Use the model to find the cost of purchasing 600 tee shirts.2. The cost of driving a car depends on the number of miles driven and the gas mileage of the car. Kristi owns a Honda Accord that gets 30 miles to the gallon. a) Find a function C that models the cost of driving Kristi’s car x miles if the cost of gas is $3.20 per gallon.b) Use the model to find the cost of driving Kristi’s car 500 miles.c) Kristi’s budget for gas is $250 a month. Use the model to find the number of miles Kristi can drive each month without exceeding her monthly gas budget.Section 2.11. Determine the average rate of change of the function between the given values of x.a) f(x)=3x+2; x=2 and x=5b) g(x)=1-2x2; x=0 and x=1Section 2.21. Let f be the linear function f(x)=2+3x. Find the average rate of change on the follow intervalsa) Between x=0 and x=1b) Between x=1 and x=4c) Between x=c and x=d2. For the given linear function find the rate of change of the functions.a) g(x)=-3-xb) f(x)=2t-6 Section 2.31. Find an equation of the line with the given slope that passes through the give point. Simplify the equation by putting it into slope-intercept form.a) slope 2, through (0,4)b) slope 2/3, through (1,7)2. Two points are given, find an equation of the line that passes through the given points. Simplify the equation by putting it in slope-intercept forma) (-2,1) and (4,7)b) (-1,7) and (2,-2)Section 2.41. Let I be the line with equation y=4-3xa) Find an equation for the line parallel to I and passing through the point (2,0)2. An equation of a line l and the coordinates of a point P are given.a) Find an equation for the line that is parallel to l and passes through P.b) Find an equation for the line that is perpendicular to I and passes through P.*4x-3y+1=0; (0,3)Section 2.61. A manufacturer of soft drinks advertises its orange soda as “naturally flavored”, although the soda contains only 5% orange juice. A new federal regulation stipulates that to be called “natural”, a drink must contain at least 10% fruit juice. The manufacturer has a 900-gallow vat of soda and decides to add pure orange just to the vat.a) Construct a model that gives the fraction of the mixture that is pure orange juice.b) How much pure orange juice must be added for the mixture tosatisfy the 10% rule?Section 2.71. Find the point at which the graphs of the two linear equations intersect.a) y=2+x; y=(4/3)x+3b) y=(7/2)-(1/2)x; y=5x-22. Kevin needs to buy a new car. He compares the cost of owning two cars he likes:A: An $18,000 gas-powered car that gets 30 mi/gallonB: A $25,000 hybrid-electric car that gets 48 mi/gallonAssume the price of gas is $4.50 per gallona) Find a linear equation that models the cost of purchasing Car A and driving it x-miles.b) Find a linear equation that models the cost of purchasing Car B and driving it x-miles.c) Find the break-even point for Kevin’s cost comparison. That is, find the number of miles he needs to drive so that the cost of owning Car A is the same as the cost of owning Car B.Section 3.11. Bacterial Infection; The bacteria Streptococcus pneuomoniae is the cause of many human diseases. The most common being pneumonia. A culture of these bacteria initially has 10 bacteria and increases at a rate of 26%.a) Find the hourly growth factor a, and find an exponential modelf(t)=Cat for the bacteria count in the sample, were t is measured in hours.b) Use the model you found to predict the number of bacteria in the sample after 5 hours.Section 3.21. If $4,000 is invested at an interest rate of 1.6% per year compounded quarterly, find the value of the investment after thegiven number of years.a) 4 yearsb) 6 yearsc) 8 yearsSection 3.31. Determine whether the model is linear or exponential and determine the model for the following data.X Y0 20,0001 12,0002 7,2003 4,3204 2,592Section 3.4* Look at Questions 29-34 and the PQ examples from Friday. These involve a graph which is why they are not attached to this practice