Pre-Algebra Test

17. А rental company charges $8 plus $5.50 � hour to rent а canoe. Fill in each Ьох below to make true statements. а. А function that сап Ье used to find the total cost у of renting а canoe for_!hoчrs is I J. 5. '=>ох Ь. The domain of the function represents с. The range of the function represents d. Michelle rents а canoe for 4 hours. The amount she pays is 18. Select the correct graph of the linear function shown in each tаЫе below. Graph А - -2 2:_ о Graph В ,_ • о у - '-- Graph С 2 у.4 � 4Х -2 о 2Х 17. А rental company charges $8 plus $5.50 per hour to rent а canoe. Fill in each Ьох below to make true statements. а. А function that сап Ье used to find the total cost у of renting а canoe for х hours is у= 5.Sx + 8 Ь. The domain of the function represents the number of hours с. The range of the function represents the total cost d. Michelle rents а canoe for 4 hours. The amount she pays is $30 --- ' $30 18. Select the correct graph of the linear function Graph А shown in each tаЫе below. Graph В Graph С 2у о 4 -2 -1 о -1 о 1 -5 -1 3 -4 о 4 -4 о 2 -4 Graph В Graph С Graph А х 19. The tаЫе shows the rate а hotel charges per day for а room. MAFS.6.EE.2.7 а. Write an equation to find the total cost to stay in the hotel for any number of days. с = 65d 5 >( 'j --::.. (о Ь. Use the equation to determine how much it would cost to stay for 9 days. $535 20. Write an expression that сап Ье used to find the nth term of the arithmetic sequence 15, 30, 45, 60, .... Then write the next three terms. MAFS.6.EE.1.2 15n; 75, 90, 105 Total Number of Days Charge ($) 1 65 2 130 3 195 4 260 Graph each function. (Example 2) -Q у=4х 2. у= -зх 3. у= х- 3 у х 4. Financial Literacy Manuel is saving money for college. Не already has $250. Не plans to save another $50 per month. (Examples 1, 3-5) а. Write а function to represent his savings for any number х т 250+ 50m s 2 250+ 50(2) 350 4 250+ 50(4) 450 4. Financial Literacy Manuel is saving money for college. т Не already has $250. Не plans to save another $50 per month. (Examples 1, 3-5) а. Write а function to represent his savings for any number of months. s = 250 + 50m Make а function tаЫе to find his total savings for 2, 4, 6, 8 and 1 О months. с. Graph the function. Is the function continuous or discrete? Explain. discrete; You cannot find Manuel's total savings for part of а month. d. ln erpret the oints graphed. Manuel saved а total of $350 in 2 months, $450 in 4 months, $550 in 6 months, $650 in 8 months, and $750 in 1 О months. 5. Сору and Solve The tаЫе shows the cost to rent different items. а. Write а function to represent each ltem Deposit ($) Cost per Hour ($) Mountain Ьike 15 4.25 Scooter 25 2.50 ·- 1V 1V 250+ 50m s 250+ 50(2) 350 250+ 50(4) 450 250+ 50(6) 550 250+ 50(8) 650 250+ 50(10) 750 Manuel's Savings 1,000 s 800 600 400 • • • • • 200 о т 2 4 6 8 10 Number of Months 12 months, $650 in 8 months, and $750 in 1 О months. 5. Сору and Solve The tаЫе shows the cost to rent different items. а. Write а function to represent each situation. ltem Deposit Cost per ($) Hour ($) Mountain Ьike 15 4.25 Scooter 25 2.50 "'� � 400 • • 200 т о------------2 4 6 8 10 12 Number of Months Ьike: с = 15 + 4.25h; scooter: с = 25 + 2.5h Ь. On а separate piece of paper, make а function tаЫе to find the total cost to rent each item for 2, 3, 4, or 5 hours. See Answer Appendix. с. On а separate piece of grid paper, graph the functions on the same coordinate plane. Аге the functions continuous or discrete? Explain. See Answer Appendix for graph. Both situations are discrete because you cannot rent either piece of equipment for а partial hour. d. Will the mountain Ьike or the scooter cost more to rent for 8 hours? mountain Ьike е. How much is the cost to rent the mountain Ьike for 8 hours? $49 - 70 ·- compares temperatures in degrees Celsius С to temperatures in degrees Fahrenheit F. Find four ordered pairs (С, F) that are solutions of the equation. Then graph the function. а, .. .. F 60 .с с а, .с IU LI. 111 а, а, Sample answer: (О, 32), (-1 О, 14), (1 О, 50), (20, 68) с_ \ . t � -t :>°' � с О\ а, 1 О 20 30 40 50 60 Degrees Celsius & Drake is saving money to buy а new computer for $1,200. Не already has $450 and plans to save $30 а week. The function у= 30х + 450 represents the amount Drake has saved after х weeks. Graph the function to determine the number of weeks it will take Drake to save enough money to buy the computer. 25 weeks -- ,v), а, IU � а, с 1,400 у 1,200 1,000 800 600 о х 4 8 12 16 20 Number of Weeks - 24 28 4. � Multiple Representations The two fastest times for swimming the English Channel belong to Petar Stoychev and Yvetta Hlavacova. Petar's average speed was 265 feet per minute. Yvetta's average speed was 249 feet per minute. - Time(min) 1 Petar Yvetta 2,s- 24'1 .., а. ТаЫеs Complete the tаЫе of ordered pairs in which the x -coordinate represents the time and the y -coordinate represents the total distance swum in 1, 2, 3, 4, and 5 minutes. Ь. Graphs Graph each set of ordered pairs on the coordinate plane. с. Algebra Write an equation for each swimmer to find the number of feet swam d in any number of minutes t. _________________ d. Numbers lf Petar Stoychev swam the Channel in 6 hours, 57 minutes, and 50 seconds, approximately how wide in miles is the English Channel? (Hint: 1 mi = 5,280 ft) 3,000 d 2,750 2,500 2,250 2,000 1,750 1,500 1,250 1,000 750 500 250 о ! 1 2 3 4 5 6 7 8 9 10 4. � Multiple Representations The two fastest times for swimming the English Channel belong to Petar Stoychev and Yvetta Hlavacova. Petar's average speed was 265 feet per minute. Yvetta's average speed was 249 feet per minute. Time (min) а. ТаЫеs Complete the tаЫе of ordered pairs in which the x-coordinate represents the time and the y-coordinate represents the total distance swum in 1, 2, 3, 4, and 5 minutes. Petar Yvetta 2,s- 24"f • • 2 530 498 3 795 747 4 1,060 996 1,245 5 Ь. Graphs Graph each set of ordered pairs оп the coordinate plane. с. Algebra Write an equation for each swimmer to find the number of feet swam d in any number of minutes t. Petar: d = 265t; Yvetta: d = 249t to;;..,y�c,�wam the Channel in et:;,;.a;.:..r..:::.S.,;... d. Numbers lf .:..P.:. 6 hours, 57 minutes, an 5 se onds, approximately ow wide in miles is the ng Is annel? (Hint: 1 mi = 5,280 ft) about 21 mi - Е 41 u С: со ·- 2,500 2,250 2,000 1,750 1,500 1,250 1,000 750 500 250 t о.___________ 1 2 З 4 5 6 7 8 9 10 Time (min) 12. А candy company produces 30 boxes of candy per hour. а. Make а tаЫе of ordered pairs in which the x-coordinate represents the number of hours and the y-coordinate represent the number of boxes of candy in 5, 1 О, 15, and 20 hours. х - у Ь. Graph the ordered pairs. 1,ООО Т 900 800 700 600 500 . . i 400 300 200 100 5 10 15 20 25 30 35 40 45Х 13. � ldentify Structure Graph the points in the tаЫе оп а coordinate plane. Label the points А. В. and С. What are the coordinates of ooint О 12. А candy company produces 30 boxes of candy per hour. а. Make а tаЫе of ordered pairs in which the x-coordinate represents the number of hours and the y-coordinate represent the number of boxes of candy iя 5, 1 Q 15, and 20 hours. х Ь. Graph the ordered pairs. 111 5 10 у 150 300 15 20 450 600 =о 1,000 900 800 700 600 500 400 300 200 100 • • • 5 10 15 20 25 30 35 40 45Х Time (h) 13. � ldentify Structure Graph the points in the tаЫе оп а coordinate plane. Label the points А. В. and С. What are the coordinates of ooint О х 1 у 4 • Lt r(t) f',rtd ) 3 f + L� �(х_) f,rtd +(-3) -=- Цv_-\� F(J) ц (-) - (J\� - 1� - -- �� 4LJ)-\� � - \d -L\ C.ьmf 1�-te 0-, �unc'ti6r\__ {- а_ Ы е_ у_ X_-lD �(t) -г;) -( о ] J ! C.ьmf 1�-te 0-, �unc'ti6r\__ {- а_ Ы е_ у_ -г;) -( о ] J X_-lD �(t) - 8 -�-(_р -) - -1 � о -lo -lD --5 l - U) J-� i -4