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anonymous

  • 5 years ago

The percentage of automobile cunsumers who are under 50 years of age degreased linerly from 55.9% in 1990 to 52.4% in 2005. Predeict when the percentage will be 48%?

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  1. Hero
    • 5 years ago
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    Just use the slope formula to get the slope, then use the point slope formula to find the equation

  2. anonymous
    • 5 years ago
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    So, \[52.4-55.9/105-90\]?

  3. Hero
    • 5 years ago
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    yes, that's a good start.

  4. anonymous
    • 5 years ago
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    Well somewhere I'm getting hung up...so i end up with -3.5/15. Then go \[55.9=-3.5/15(90)+b? \]

  5. anonymous
    • 5 years ago
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    if this is right, that's where I'm stuck. I now have to predict when it will be 48%? Plug 48 into y? Solve

  6. Hero
    • 5 years ago
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    Wait a sec...

  7. anonymous
    • 5 years ago
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    K :S

  8. Hero
    • 5 years ago
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    Sorry, I thought you were using the point slope form. You decided to do this the other way... What do you get for b?

  9. anonymous
    • 5 years ago
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    Well originally 76.9

  10. Hero
    • 5 years ago
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    That's correct

  11. Hero
    • 5 years ago
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    So what is your y = mx + b formula now?

  12. anonymous
    • 5 years ago
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    Should i plug the 48 in as y?

  13. Hero
    • 5 years ago
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    yes

  14. anonymous
    • 5 years ago
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    \[48=-3.5/15x+76.9\] Solve for x

  15. Hero
    • 5 years ago
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    yes,and what do you get for x?

  16. anonymous
    • 5 years ago
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    -26.57?

  17. Hero
    • 5 years ago
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    I get year 2023 and 10.2/12 months

  18. anonymous
    • 5 years ago
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    Hmm...so first I -76.9 from both sides?

  19. Hero
    • 5 years ago
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    so right around October of year 2023

  20. Hero
    • 5 years ago
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    Yes correct

  21. anonymous
    • 5 years ago
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    End up with -28.9 = -3.5/15x

  22. Hero
    • 5 years ago
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    yes

  23. anonymous
    • 5 years ago
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    Do I convert m to -2.33?

  24. Hero
    • 5 years ago
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    wait a sec...

  25. Hero
    • 5 years ago
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    You should just solve it without converting.

  26. anonymous
    • 5 years ago
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    So did you get 433.5/3.5?

  27. anonymous
    • 5 years ago
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    123.86

  28. anonymous
    • 5 years ago
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    So in years 1900 + 123.6 = 2023.6? That seems a lot close to what you had

  29. Hero
    • 5 years ago
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    Close enough. Good job

  30. anonymous
    • 5 years ago
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    Wow...what a pain. OK, well thank you for the time. That is a lot closer to a realistic answer. Just need to make sure I follow each step carefully. Thanks again.

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