MATH 111 F2013 Practice Test 2bSHOWALL WORKNO CREDIT WILL BE GIVEN FOR THE ANSWERS WITHOUT WORK4 points each1. The table shows the number of manatees killed by power boats in Florida from 1986through 1996.Year Manatees killed1986331987391988431989501990 47Find the average rate of change of the number of rurnatees killed annually from 1986 to1990.2. Find the average rate of change of the function y :2x- x2 between x : 2 andx : 5.3. Use the graph below to find the average rate of change of the function from x :2 tox = 6 (lcell:lunit).4. Find a linear function whose values are given in the table belowx-3 06 15f(x)56811.6. Find an equation of the line that passes through (2, -I) and (5, 3).7. y is directly proportional to x andy is 17.4 when x is 6.a) Find a fomrula to describe y as a function of x.b) Use the formula to findy when x is 8.8. Find an equation of the line that is perpendicular to 4x - 8y: I and passes throughQ,5).9. You invested $9000 in trvo funds paying 4Yo and.7%o annral interest, respectively. Atthe end of the year the total interest from these invesfinents was $555. How much wasinvested at each rate?10. The length of a rectangular field exceeds the widthby 260 yards. If the perimeter ofthe field is 1000 yards, what are its dimensions?11. At a price ofp dollars per ticket the number of tickets to a rock concert that canbe sold is given by the demand model y -- 45p + 7800. The number of tickets that theconcert's promoters are willing to make available is given by the supply modelY=5P+6000.a) How many tickets can be sold and supplied for $50 per ticket?. b) Find the ticket price and the number of tickets supplied and sold at the equilibriumprice.12. Find the equation f(x) : Cd for the function given by the table below.x flx)-1 30 4.261 6.052 8.59Round values to 2 decimal places.13. A patient is administered 250 mg of a therapeutic drug. It is known that40Yo of thedrug is expelled from the body each hour.a) Find an exponential decay model for the amount of drug remaining in the patient'sbody after t hours.b) Use the model to predict the amount of drug remaining in the patient's body after 10hours.14. For an exponentialfuncnon,f(x) : Cd where r is measured in months andf(O) : 13,ndf(g) =48, find:a) the 9-month growth factorb) the monthly growth factor.Round answers to 2 decimal places.15. Find the accumulated value of an investnent of $5000 for 10 years at an interest rateof 6.SYo compoundeda) semiannually. b) monthly16. In 2000 the population of Israel was approximately 6.04 million and by 2050 it isprojected to grow to l0 million. Use the exponential growth model P = Ca ', where I isthe number of years after 2000, to find an exponential growth function that models thedata.16. In 2000 the population of Israel was approximately 6.04 million and by 2050 it isprojected to grow to 10 million. Use the exponential growttr model P = Ca t, where / isthe number of years after 2000, to find an exponential growth function that models thedata.17. Sketch a graph of the exponential functions in the same coordinate plane by making atable of values: f(x) = 3* and g(x): 3-*.ANSWERS1.3.52. -53.0.254.y: (l/3)x+65. V: 1155 - 165x6.y : (13)x- lll37.a)y:2.9x;b)23.28.Y: -2x+ 99. $2500 at4Yo and $6500 atTVo10. 120x380ll. a)6250 supplied, 6550 sold; b) p:$60 per ticket, 6300 tickets.12. f(x) :4.26(1.42)*13. a) A:250(0.6)t; b) 1.51 mgt4. a) 3.69; b) 1.1615. a) $9479.te;b) $9560.9216. P:6.04(1.01)tt7.x-10 I 2.XJ t/3I 39x-2-t 0I^-XJ9J