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anonymous

  • one year ago

Billy started with 2 poems in his journal. Then he started writing 4 poems each day. Which of the following graph represents Billy's poem writing?

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  1. anonymous
    • one year ago
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    @mathstudent55 @freckles

  2. mathstudent55
    • one year ago
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    Before we look at graphs, can you come up with an equation for this function? Let's say the number of days is x, and the number of poems is y.

  3. mathstudent55
    • one year ago
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    the number of poems = a function of the number of days y = a function of x

  4. anonymous
    • one year ago
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    so the slope could be 2?

  5. mathstudent55
    • one year ago
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    You can use the slope-intercept form: \(y = mx + b\) b is the y-intercept. That is the number you have at zero x-value. The slope is what accounts for what changes, in this case, daily.

  6. anonymous
    • one year ago
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    so y=2x+1

  7. mathstudent55
    • one year ago
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    the number of poems = a function of the number of days y = a function of x y = fixed beginning amount + daily additional amount

  8. mathstudent55
    • one year ago
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    No. Look at my last line above. y, the number of poems, is the sum of the beginning amount and the daily additional amount. What is the beginning amount? Hint: "Billy started with 2 poems in his journal."

  9. anonymous
    • one year ago
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    2x

  10. anonymous
    • one year ago
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    would the points be (4,2) and (0,2)

  11. mathstudent55
    • one year ago
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    No. No x. The fixed amount never changes. It is not dependent on x. The fixed amount is simply 2 since Billy started with 2 poems in his journal.

  12. anonymous
    • one year ago
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    Ok, so the points would be (0,2) (1,6) and (2,10)

  13. anonymous
    • one year ago
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    am i right?

  14. mathstudent55
    • one year ago
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    The daily additional amount depends on the day. He adds 4 poems per day. Day is x, so after day 1 he has 4 * 1 extra poems. after day 2 he has 4 * 2 extra poems after day 3 he has 4 * 3 extra poems after day 4 he has 4 * 4 extra poems this pattern goes on and on... after day x he has 4 * x extra poems

  15. mathstudent55
    • one year ago
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    Since y, the number of poems in his journal is given by the fixed number of poems he started with plus the daily additional poems, we can write: y = 2 + 4x which can be rewritten as y = 4x + 2

  16. anonymous
    • one year ago
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    Ok! Thanks :)

  17. anonymous
    • one year ago
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    what would be some points if I graphed that?

  18. mathstudent55
    • one year ago
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    Yes, your points are correct because they are all points in the equation y = 4x + 2

  19. anonymous
    • one year ago
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    (0,2) (1,6) ??

  20. anonymous
    • one year ago
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    If I open another can u help again?

  21. mathstudent55
    • one year ago
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    sure

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