MATH 111 F2013 Practice Test 2a Ch 2 3 Name SHOW ALL WORK NO CREDIT WILL BE GIVEN FOR THE ANSWERS WITHOUT WORK 4 points each following table shows the number of new AIDS cases reported in Florida from 1986 to 1994 1 The Year New AIDS Cases I t633 1986 1987 103 1988 2650 1989 3W 1990 4018 t99t 5471 t99z t993 5086 10958 1994 86t7 Calculate the average annual rate of change of new AIDS cases per year from 1986 to 1993 noundyour answer to 2 decimal places if necessary 2 Find the average rate of change of the function y 8 2 between 0 and 4 x x 3 Use the graph below to find the average rate of change of the function between x 3 1 cell 1 unit and x 6 4 rrn r Find a linear function whose values are grven in the table below siven ul 4 0 x 2 12 f x 6 6 6 24 5 In 2000 thsre were 39 8 million Americans without health insurance This number has increased at an average rate of 1 7 million people per year a Write a formula that models the number of Americans without health insurance x years after 2000 b Find the number of Americans without health insurance in2012 6 Find an equation of the line that passes through 5 6 and 7 3 7 y is directly proportional to x and y is 45 6 when x is 6 a Find a formula to describe y as a function ofx b Use the formula to findy when x is 10 8 Find an equation of the line that is perpendicular to x 3 4y 8 and passes through 1 9 You invested 7000 in two funds paying 6 o and 80 o annual interest respectively At the end of the year the total interest from these investments was 520 How much was invested at eachrate 10 The length of a rectangular soccer field is twice as long as it is wide of the field is 300yards what are its dimensions If the perimeter 11 In 2010 there were 13 000 students at college A with a projected enrollment increase of 1000 students per year In the same year there were 16 500 students at college B with a projected enrollment increase of 500 students per year a Find the functions modeling college enrollment for each college let x be the number of years after 2010 College A College B b In what year will the colleges have the same enrollment c What will be the enrollment in each college at that time 12 Find the x 1 0 I 2 equationf x Ca for the function given by the table below f x 2 2 74 3 75 5 t4 Round values to 2 decimal places function f x Ca such that unit increase in x the output decreases by 20 13 a Find an exponential b Find the value of the function when x 14 0 31 000 and for every 10 A population decreases exponentially from 14 000 000 to 9 790 000 in 6 years a Find the 6 year decay factor b Find the yearly decay factor Round onswers to 2 decimal places 15 rJse the compound interest formula A t if P I r an investment of 5000 for 5 years a the interest rate is 5 5 compounded semiannually n Find the accumulated value of b the interest rate is 5 25 compounded monthly 16 In 1990 the population of Europe was 509 million and in 2000 it was 729 million Find the exponential growth model P Ca t where is the number of years after ffi 1 that describes the population of Europe 17 Sketch a graph of the exponential function f x 4 by making a table of values a Table b Graph mark the scale and the axes 1 8 In 1970 the US population was 203 3 million By 2003 it had grown to 294 million Let be the number of years after 1970 a Find a linear function y mt b that models the data b Find an exponential function places y Calthat models the data Round a to 3 decimal c According to the latest census report www ensLr CI dls ffipsndialslatabi the US population in2012 is 312 8 million Which of the above models gives a better estimate of the real data Show work MATH 111 F20r Test Z Ch 2 3 SHOW ALL WORK NO CREDIT WILL BE GIVEN FOR THE ANSWERS WITHOUT WORK 4 points each following table shows the number of new AIDS cases reported in Florida from 1986 to 1994 1 The Year l0 55 to3l New AIDS Cases 986 1031 987 1633 988 989 2650 3448 990 4018 991 992 5471 5086 993 10958 994 8617 q3 86 y q uvt vr Calculate the average annual rate of change of new AIDS cases per year from 1986 to 1993 Round your answer to 2 decimal places if necessary 2 Find the average rate of change of the function y 8 2x2 between x 0 andx 4 X o of 9 L f 2 Y 8 32 l Lc X 3 Use the graph below to find the average rate and x 6 1 cell 1 unit of change of the function k c t v L 4 7 L 7 between v J 4 Find a linear function whose val ucs arc x f x II the table below 4 0 2 6 6 6 t2 24 m2 6 6 Z tf b 6 2 L v rt 4x 6 r 2 3 x 3 5 In 2000 there were 39 8 million Americans without health insurance This number has increased at an average rate of 1 7 million people per year a Write a formula that models the number of Americans without health insurance x years after 2000 U f 2 3q f IZ X in20l2 X Z 60 2 rnn hbtl b Find the number of Americans without health insurance v 3q 8 7 lZ d 6 Find an equation of the line that passes through 5 6 and 7 3 ln 3 6 z 5 5 y 6 Lf r x f tf W y is directly proportional to x and y is 45 6 when r is 6 a Find a formula to describe y as a function ofx 7 q56 k 6 K KV Y o y gx b Use the formula to findy K n F k4 Uj 6 10 7 6 lrt 66V 8 Find an equation of the line that is pefuendicular to x 4y 8 and passes through t r 41 x J n x r 1 x s x y t lXt 2 ttl f 9 You invested 7000 in two funds p aying 6Yo andSYo annual interest respectively At the end of the year the total interest from these investments was 520 How much was invested at eachrate t Kt nld 20aa S oa 6 c zaao L h ToPo a 6 a Tooo Y lrt rrcs a 8 t 0 …