## anonymous one year ago WILL FAN + MEDAL FOR 5 QUESTIONS!!!!

1. anonymous

Which inequality models this problem? The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is the greatest possible value for the width?

2. anonymous

@ParthKohli @mathmate @UnkleRhaukus

3. anonymous

4. anonymous

My choice is D 2w + 2 • (3w) ≥112 2w + 2 • (3w) < 112 2w + 2 • (3w) > 112 2w + 2 • (3w) ≤112

5. UnkleRhaukus

what is a formula for the perimeter of a rectangle ? ( in term of length l, and width w)

6. anonymous

No we dont have to solve it

7. anonymous

We need to make/find the inequality

8. UnkleRhaukus

The perimeter is $P = \ell+w+\ell+w = 2\ell + 2w$

9. UnkleRhaukus

right ?

10. anonymous

Am I right???? I think its D because at most is < with _ under it

11. UnkleRhaukus

hmm, that is a short cut yes

12. anonymous

Well ueah but I have done the problem and I got D! Also like i said....... The at most sign is < with _ under it

13. UnkleRhaukus

yeah

14. anonymous

Ok so am I right?

15. UnkleRhaukus

yes, yeah, maybe. YES

16. anonymous

Really dude come on!

17. anonymous

Yes or No!

18. UnkleRhaukus

As you say, the only difference between the options is the inequality sign, and  ≤  is the same as  at most

19. anonymous

Which inequality models this problem? Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him$300 per week for general expenses. He earns \$850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit?

20. UnkleRhaukus

is this another multiple-choice, where the options are the same up unto the inequality sign?

21. UnkleRhaukus

Yes / No / Maybe ?

22. anonymous

300w > 7500 + 850w 850w > 7500 + 300w 850w < 7500 + 300w 850w ≥ 7500 + 300w

23. anonymous

The choices

24. UnkleRhaukus

consider the weekly profit : sales - expenses how many week do you need to for the profit weekly profit * weeks to be greater than the cost of the merchandise

25. anonymous

My choice is A

26. UnkleRhaukus

Consider, if A were true, would Eduardo ever turn a profit on the business?

27. anonymous

yes

28. UnkleRhaukus

how many weeks (w), do you think?

29. anonymous

15

30. UnkleRhaukus

let's check A: 300w > 7500 + 850w ? 300(15) > 7500 + 850(15) ? 4500 > 7500 + 12750 ? 4500 > 20250 ?

31. anonymous

Well how would we get the inequality

32. UnkleRhaukus

consider the weekly profit : sales - expenses how many week do you need for the profit: weekly profit * weeks to be greater than the cost of the merchandise (sales - expenses)weeks > merchandise

33. anonymous

C then

34. UnkleRhaukus

(sales - expenses)weeks > merchandise (sales)weeks - (expenses)weeks > merchandise (sales)w - (expenses)w > merchandise

35. anonymous

B????? Dude, the 300 is at the end

36. UnkleRhaukus

how did they get get the + 300w as the last term on most of the options

37. anonymous

ok I really dont understand

38. UnkleRhaukus

(sales)w - (expenses)w > merchandise (sales)w > merchandise + (expenses)w

39. UnkleRhaukus

expenses, right?

40. anonymous

So it is B

41. anonymous

Well am i right?

42. UnkleRhaukus

how many weeks does that correspond to?

43. anonymous

8?

44. anonymous

What do we have to do to solve it?

45. UnkleRhaukus

let's check B: 850w > 7500 + 300w 850(8) > 7500 + 300(8) ? 6800 > 7500 + 2400 ?

46. anonymous

So its B??

47. anonymous

Dude you litterally going around everything....

48. UnkleRhaukus

is 6800 > 7500 + 2400 ? is 6800 > 9900 ?

49. UnkleRhaukus

Where did you get the figure of 8 weeks from ?

50. anonymous

6800>9900+12300

51. UnkleRhaukus

um

52. anonymous

um what?

53. UnkleRhaukus

|dw:1443617828799:dw|

54. anonymous

Ok dude is it B or not!

55. anonymous

Hello????

56. anonymous

@UnkleRhaukus

57. anonymous

hello??????????????????????????