Math 084 Sp2011 Worksheet 5.5 v01 Systems of Linear Equations Exercises Dressler. Name. 4) Marcus is planting a section of garden with

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1 Math 0 Sp011 Worksheet 5.5 v01 Sstems of Linear Equations Eercises Dressler Name Solve the problem. 1) Yvette has up to $000 to invest and has chosen to put her mone into telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 5 times the pharmaceuticals investment. Write a sstem of inequalities to describe the situation. Let = amount to be invested in telecommunications and = amount to be invested in pharmaceuticals. ) Marcus is planting a section of garden with tomatoes and cucumbers. The available area of the section is 130 square feet. He wants the area planted with tomatoes to be more than 30% of the area planted with cucumbers. Write a sstem of inequalities to describe the situation. Let = amount to be planted in tomatoes and = amount to be planted in cucumbers. ) Yvette has up to $7000 to invest and has chosen to put her mone into telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 times the pharmaceuticals investment. Write a sstem of inequalities to describe the situation. Let = amount to be invested in telecommunications and = amount to be invested in pharmaceuticals. 3) Marcus is planting a section of garden with tomatoes and cucumbers. The available area of the section is 10 square feet. He wants the area planted with tomatoes to be more than 30% of the area planted with cucumbers. Write a sstem of inequalities to describe the situation. Let = amount to be planted in tomatoes and = amount to be planted in cucumbers. 5) Benjamin never has more than 1 hours free during the week. He is tring to make a weekl plan for dividing his free time between reading and working out. He wants to spend at least hours per week reading. Write a sstem of inequalities to describe the situation. Let = amount of time for reading and = amount of time for working out. ) Benjamin never has more than 1 hours free during the week. He is tring to make a weekl plan for dividing his free time between reading and working out. He wants to spend at least 7 hours per week reading. Write a sstem of inequalities to describe the situation. Let = amount of time for reading and = amount of time for working out. 1

2 7) Mrs. White wants to crochet beach hats and bab afghans for a church fund-raising bazaar. She needs hours to make a hat and 9 hours to make an afghan and she has 3 hours available. Thus, + 9 3, where is the number of hats and is the number of afghans. Can she make 9 hats and afghans in the time allowed? 11) Benjamin never has more than 19 hours free during the week. He is tring to make a weekl plan for dividing his free time between reading and working out. He wants to spend at least 5 hours per week reading. Write a sstem of inequalities to describe the situation. Let = amount of time for reading and = amount of time for working out. ) Mrs. White wants to crochet beach hats and bab afghans for a church fund-raising bazaar. She needs hours to make a hat and hours to make an afghan and she has hours available. Thus, +, where is the number of hats and is the number of afghans. Can she make 9 hats and 0 afghans in the time allowed? 1) Yvette has up to $3000 to invest and has chosen to put her mone into telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 5 times the pharmaceuticals investment. Write a sstem of inequalities to describe the situation. Let = amount to be invested in telecommunications and = amount to be invested in pharmaceuticals. 9) An office manager needs to bu new filing cabinets. Cabinet A takes up 7 square feet of floor space. Cabinet B takes up square feet of floor space. The office has room for no more than square feet of cabinets. Thus, 7 +, where is the number of A cabinets and is the number of B cabinets. Does the office have enough floor space for 1 A cabinets and 5 B cabinets? 13) An office manager needs to bu new filing cabinets. Cabinet A takes up square feet of floor space. Cabinet B takes up square feet of floor space. The office has room for no more than square feet of cabinets. Thus, +, where is the number of A cabinets and is the number of B cabinets. Does the office have enough floor space for A cabinets and 1 B cabinets? 10) An office manager needs to bu new filing cabinets. Cabinet A takes up square feet of floor space. Cabinet B takes up 9 square feet of floor space. The office has room for no more than 7 square feet of cabinets. Thus, + 9 7, where is the number of A cabinets and is the number of B cabinets. Does the office have enough floor space for A cabinets and B cabinets?

3 Graph the solution of the sstem or indicate that there is no solution. 1) + > ) + > ) + > )

4 1) ) ) - 3-1) + >

5 ) + > 1 ) < ) < ) 3 + < >

6 ) + < 10 + > -1 ) ) ) + >

7 30) > - 3 < - 3) > ) 5 + > < 33) >

8 3) ) ) ) - + > - + <

9 3) + > + < 1 0) ) )

10 Answer Ke 1) ) ) + 10 > ) > ) ) ) No ) No 9) Yes 10) No 11) ) ) Yes 1)

11 Answer Ke 15) ) )

12 Answer Ke 1) ) )

13 Answer Ke 1) ) )

14 Answer Ke ) ) )

15 Answer Ke 7) ) )

16 Answer Ke 30) ) )

17 Answer Ke 33) ) )

18 Answer Ke 3) ) no solution; ) no solution;

19 Answer Ke 39) ) )