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anonymous

  • 5 years ago

A university reported that its enrollment increased from 11,778 students in 2005-2006 to 12,196 students in 2006-2007. a. What is the ratio of the number of students in 2006-2007 to the number of students in 2005-2006 b. From your result in part a, determine the growth factor. Write it in decimal form to the nearest thousandth. c. By what percent did the enrollment increase?

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  1. anonymous
    • 5 years ago
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    So confused about this

  2. anonymous
    • 5 years ago
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    what is the ratio of 3 to 2?

  3. anonymous
    • 5 years ago
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    Isn't it 1.5?

  4. anonymous
    • 5 years ago
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    yes, thats right. so what is the ratio of 12196 to 11778 students?

  5. anonymous
    • 5 years ago
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    1.035

  6. anonymous
    • 5 years ago
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    there you go. thats your answer

  7. anonymous
    • 5 years ago
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    But then how do you find the growth factor? That's the part I'm not too sure about.

  8. anonymous
    • 5 years ago
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    growth factor is the factor by which the number of students grew in one year. there were 11778 students one year, and there were 12196 students the next year. By what factor did they increase? It is the same as the ratio. the students increased by a factor of 1.035

  9. anonymous
    • 5 years ago
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    ratios are expressed as 3:2. so you should express your ration for the previous problem part a) to 12196:11778

  10. anonymous
    • 5 years ago
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    a:b is a ratio.

  11. anonymous
    • 5 years ago
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    Right. They said to type it as a decimal or a number though. (:

  12. anonymous
    • 5 years ago
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    however, you can represent 10:2 as 5:1 too. so you should factor out the common terms is 12196:11778 and post it as a simpler ratio.

  13. anonymous
    • 5 years ago
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    Thank you so much for your help though. I appreciate it (:

  14. anonymous
    • 5 years ago
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    alright

  15. gw2011
    • 5 years ago
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    a) 12,196/11,778 This is the ratio b) From (a) above, you get 1.035 This is the growth factor c) 12,196 - 11,778 = 418 This is the increase 418/11,778 = 0.035 = 3.5% This is the percent increase

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