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jayda

  • 2 years ago

The scatter plot below shows the weights in ounces of several kittens at various ages. What is the best equation of the trend line through these points? A. y = 10x B. y = 4x C. y = 1/4x + 10 y = 4x + 10

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  1. jayda
    • 2 years ago
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  2. mathmate
    • 2 years ago
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    This is how you proceed for slope-intercept equations. From the graph, read off the y-intercept (=10). Read off the slope (about 15). Check the 4 options to see which one satisfies both conditions. If you can use help reading off the slope and intercept, please post.

  3. jayda
    • 2 years ago
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    what do you mean

  4. mathmate
    • 2 years ago
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    Are you familiar with how to find the y-intercept of a given equation in slope-intercept form?

  5. jayda
    • 2 years ago
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    not really

  6. mathmate
    • 2 years ago
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    An equation y=mx+b is in slope-intercept form, where m=slope and b=y-intercept. |dw:1357747417191:dw|

  7. mathmate
    • 2 years ago
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    @jayda ok so far?

  8. jayda
    • 2 years ago
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    yes

  9. mathmate
    • 2 years ago
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    From the given graph, can you spot the y-intercept?

  10. jayda
    • 2 years ago
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    would it be 1?

  11. mathmate
    • 2 years ago
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    no. Y-intercept is where the curve (line in this case) intersects the y-axis. Can you read it off?

  12. jayda
    • 2 years ago
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    so the y intercept is where you have the curved line?

  13. mathmate
    • 2 years ago
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    |dw:1357748329385:dw| Can you figure out the y-intercept of the given graph?

  14. jayda
    • 2 years ago
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    ohh . okay . yes

  15. mathmate
    • 2 years ago
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    can you do the rest now?

  16. mathmate
    • 2 years ago
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    What is the approximate slope and what is the intercept?

  17. jayda
    • 2 years ago
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    isnt the intercept 10 though?

  18. jayda
    • 2 years ago
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    @mathmate ?

  19. mathmate
    • 2 years ago
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    Right, y-intercept is 10. Did you find the slope?

  20. jayda
    • 2 years ago
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    would it be 4?

  21. jayda
    • 2 years ago
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    would the answer be D?

  22. mathmate
    • 2 years ago
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    Your answer D is correct. You have eliminated A and B because the y-intercepts there are zero. Good job. Between C and D, the difference is the slope. The graph shows that y increases from 10 to 14 between 0 and 1. This implies a slope of (14-10)/(1-0)=4. Therefore answer D is correct.

  23. jayda
    • 2 years ago
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    thank you so much ! (:

  24. mathmate
    • 2 years ago
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    yw! :)

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