x y 2. x = 1 6, y = 12 Determine whether x and y show DIRECT VARIATION, INVERSE VARIATION, or NEITHER. Show why.
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1 CHAPTER 7 ALGEBRA 2 HONORS Name Per The variables and var DIRECTLY. Use the given values to The variables and var INVERSELY. Use the given values write an equation relating and. Then find when = 18. to write an equation relating and. Find when = = 6, = 3 2. = 1 6, = 12 Determine whether and show DIRECT VARIATION, INVERSE VARIATION, or NEITHER. Show wh. 3. = 4. = 3. = = 2 Determine whether and show DIRECT VARIATION, INVERSE VARIATION, or NEITHER. Find the constant of variation if possible and then write the equation. (Check each point and see if it makes the equation true.) tpe of variation : k = equation : tpe of variation : k = equation : tpe of variation : k = equation :. Last semester five of Mr. G s students built a 7-foot sailboat in 19 working hours. The time, T, that it takes for a group of students to build a sailboat varies INVERSELY with the number of students, p. a. Find the equation representing this variation. b. Eplain what the k stands for. c. How long would it take 12 students to build this sailboat?
2 11. The number of chaperones, C, needed for the class trip varies DIRECTLY with the number of students, p, going on the trip. a. Find the equation of the variation given C = 7 when p = 6. b. How man chaperones are needed if 6 students go on the trip? NO GRAPHING CALCULATOR HELP AT ALL!!! Graph the function. State the -intercept, vertical asmptote, horizontal asmptote, domain, and range of each function. Make an H-chart for each one and graph without using our graphing calculator. (REMEMBER TO STATE ASYMPTOTES AS LINES AND X-INTERCEPT AS POINTS.) 12. = 13. = intercept vertical asmptote vertical asmptote horizontal asmptote horizontal asmptote domain domain range range 14. = intercept vertical asmptote horizontal asmptote domain range
3 Use our GRAPHING CALCULATOR in order to find the ordered pairs. (Choose points where -values are given in tenths.) Remember to use parenthesis when appropriate. Write them down in an organized manner. Continue to graph without looking at our calculator. When ou are done, check our graph with our calculator. 1. = vertical asmptote horizontal asmptote domain range 16. Members of a high school band plan to pla at a college bowl game. The trip will cost $30 per band member plus a $2000 deposit. a. Write a function to represent the total average cost of the trip per band member. b. Graph the function on our calculator. (Sketch what ou see in the calculator s window.) c. What is the horizontal asmptote of this function d. Find the total average cost per person if 40 band members and what does it represent? attend the bowl game? Use our graphing calculator. Perform the indicated operation. Simplif the result
4 HAVE FUN! Simplif each comple fraction
5 np np p Solve using onl our graphing calculator. Write down what ou enter into our calculator. Then sketch what ou see in our calculator. Round to the nearest tenth if necessar = What does it MEAN to solve an equation? Solve the equation. Do NOT use a graphing calculator. Check each solution. What do ou need to look out for? = =
6 = For problems #31 and #32, make a chart in order to organize the information. 31. A restaurant has two pastr ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one da. When onl the large oven is used, it takes about 4 hours to bake the bread for one da. Approimatel how long would it take to bake the bread for one da if onl the small oven were used? Write answer using hours and minutes if necessar. 32. Allie and Mar share a room. It takes Allie less minutes to clean their room than it does her sister, Mar. If the work together, the can clean their room in 30 minutes. How long does it take Mar to clean the room b herself? How long does it take Allie to clean the room b herself? Use a table to organize the information. Round answers to the tenth s place.
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