anonymous
  • anonymous
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?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
the number of poems = a function of the number of days y = a function of x

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anonymous
  • anonymous
so the slope could be 2?
mathstudent55
  • mathstudent55
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.
anonymous
  • anonymous
so y=2x+1
mathstudent55
  • mathstudent55
the number of poems = a function of the number of days y = a function of x y = fixed beginning amount + daily additional amount
mathstudent55
  • mathstudent55
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."
anonymous
  • anonymous
2x
anonymous
  • anonymous
would the points be (4,2) and (0,2)
mathstudent55
  • mathstudent55
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.
anonymous
  • anonymous
Ok, so the points would be (0,2) (1,6) and (2,10)
anonymous
  • anonymous
am i right?
mathstudent55
  • mathstudent55
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
mathstudent55
  • mathstudent55
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
anonymous
  • anonymous
Ok! Thanks :)
anonymous
  • anonymous
what would be some points if I graphed that?
mathstudent55
  • mathstudent55
Yes, your points are correct because they are all points in the equation y = 4x + 2
anonymous
  • anonymous
(0,2) (1,6) ??
anonymous
  • anonymous
If I open another can u help again?
mathstudent55
  • mathstudent55
sure

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