Algebra

Hello! This is a question from my math practice worksheet, and I have no clue how to solve it. Any and all help is greatly appreciated!

The table shows a hospital’s patient count for two successive days. Write a linear function using the data (with x representing the day number), and then use the model to predict the patient count on Day 3.

Day 1: 295
Day 2: 272

Thank you!!

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asked by Amy
  1. Please help!:)

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    posted by Amy
  2. Ms. Sue ?

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    posted by Amy
  3. Anyone?

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    posted by Amy
  4. treat it like two ordered pairs
    (1,295) and (2,272)

    slope = (272 - 295)/(2-1) = - 23
    so equation in the form y = mx + b

    would be

    count = -23x + b , were x is the day number
    so using (1,295)
    295 = -23(1) + b
    b = 318

    count = -23x + 318

    so on day 3 , x =3
    count = -23(3) + 318 = 249

    Of course we could have done this without finding the equation. Since there is a decrease of 23 for each day, all we had to do is decrease the count from day 2, which was 272, by 23 to get 272-23 =249

    This is a very silly question. How can the number of patients be a linear function where the number of patients decrease by 23 every day ?
    It makes no sense.

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    posted by Reiny
  5. Thank you so much!! Yes, I agree. This could have just been solved by using subtraction...

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    posted by Amy
  6. May I ask you another question?

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    posted by Amy
  7. of course

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    posted by Reiny
  8. Ok! Here it is:

    Find the x and y intercepts of the line x+y=3.

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    posted by Amy
  9. to get the y-intercept, let x = 0, that would leave you with y = 3
    for the x-intercept, let y = 0 , that would leave you with x = 3

    if the equation is of the form
    Ax + By = C
    do the same thing, usually you can do it your head

    e.g. 5x + 3y = 20
    x-intercept is 4
    y-intercept is 20/3

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    posted by Reiny

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