2 233. For a population that grows at a constant rate of r% peryear, the formula P(t) = p o 1 + ___ r t models the populationt years after an initial population of p o people is100counted.The population of the city of San Jose was 782,000 in1990. Assume the population grows at a constant rateof 5% per year. According to this formula, which ofthe following is an expression for the population ofSan Jose in the year 2000 ?A. 782,000(6) 10B. 782,000(1.5) 10C. 782,000(1.05) 10D. (782,000 × 1.5) 10E. (782,000 × 1.05) 1036. The inequality 3(x +2)>4(x – 3) is equivalent towhich of the following inequalities?F. x < –6G. x < 5H. x < 9J. x < 14K. x < 1837. In ___ the standard (x,y) coordinate plane, the midpoint ofAB is (4,–3) and A is located at (1,–5). If (x,y) are thecoordinates of B, what is the value of x + y ?A. 19B. 8C. 6D. –1.5E. –334. Tom’s long-distance service charges $0.10 per minutefrom 7:00 P.M. to 7:00 A.M. on weekdays, all day onSaturdays, and all day on holidays; $0.05 per minuteall day on Sundays; and $0.25 per minute at all othertimes. The table below gives his long-distance calls for1 week, including the date and day of each call, thetime it was placed, and the number of minutes it lasted.Number ofDate and day Time minutes11/22 Tuesday 5:00 P.M. 811/23 Wednesday 10:30 A.M. 1011/24 ThursdayThanksgiving holiday 11:30 A.M. 1511/26 Saturday 9:30 A.M. 1711/27 Sunday 12:15 P.M. 22What did Tom’s long-distance service charge him forthe calls in the table?F. $7.30G. $7.60H. $7.95J. $8.80K. $9.9035. The parallel sides of the isosceles trapezoid shownbelow are 10 feet long and 16 feet long, respectively.What is the distance, in feet, between these 2 sides?A. 3B. 4C. 5D. 10E. 1610 ft5 ft 5 ft16 ft38. For all x in the domain of the function _____ x + 1, this functionis equivalent to:x 3 – xF.1__ –1__x 2 x 3G.1__ –1__x 3 xH. _____ 1x 2 – 1J. _____ 1x 2 – xK.1__x 339. In the figure below, line l is parallel to line m. Transversalst and u intersect at point A on l and intersect mat points C and B, respectively. Point X is on m, themeasure of ∠ACX is 130°, and the measure of ∠BAC is80°. How many of the angles formed by rays of l, m, t,and u have measure 50° ?A. 4B. 6C. 8D. 10E. 12BtA80°uC130°Xlm<strong>ACT</strong>-61C-PR<strong>ACT</strong>ICE30GO ON TO THE NEXT PAGE.
2 240. Tickets for the Senior Talent Show at George WashingtonCarver High School are $3 for adults and $2 forstudents. To cover expenses, a total of $600 must becollected from ticket sales for the show. One of the followinggraphs in the standard (x,y) coordinate plane,where x is the number of adult tickets sold and y is thenumber of student tickets sold, represents all the possiblecombinations of ticket sales that cover at least$600 in expenses. Which graph is it?F.student tickets soldy60040020000 200 400 600 xadult tickets soldJ.student tickets soldy60040020000 200 400 600 xadult tickets sold43. The point (2,5) is shown in the standard (x,y) coordinateplane below. Which of the following is anotherpoint on the line through the point (2,5) <strong>with</strong> a slope of–2__ ? 3yA. A (–1,3)B. B ( 0,8)C. C( 4,2)D. D( 5,3)E. E ( 5,7)ABO(2,5)CEDxG.student tickets soldy60040020000 200 400 600 xadult tickets soldK.student tickets soldy60040020000 200 400 600 xadult tickets sold44. For the triangles in the figure below, which of the followingratios of side lengths is equivalent to the ratioof the perimeter of ABC to the perimeter of DAB ?D30°H.student tickets soldy60040020000 200 400 600 xadult tickets soldF. AB:ADG. AB:BDH. AD:BDJ. BC:ADK. BC:BDAC60°EB41. What is the median of the following 7 scores?42, 67, 33, 79, 33, 89, 21A. 42B. 52C. 54.5D. 56E. 7942. What are the real solutions to the equation⎪x⎪ 2 +2⎪x⎪ –3=0?F. ±1G. ±3H. 1 and 3J. –1 and –3K. ±1 and ±345. In the figure below, 2 nonadjacent sides of a regularpentagon (5 congruent sides and 5 congruent interiorangles) are extended until they meet at point X. Whatis the measure of ∠X ?A. 18°B. 30°C. 36°D. 45°E. 72°46. The edges of a cube are each 3 inches long. What is thesurface area, in square inches, of this cube?F. 9G. 18H. 27J. 36K. 54X<strong>ACT</strong>-61C-PR<strong>ACT</strong>ICE31GO ON TO THE NEXT PAGE.