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The relationship described below can be modeled using an equation. Identify the variables and write an equation to solve the questions below.
Number of Credits Fees
3 2000
6 2600
9 3200
12 3800
15 4400

a) Write an equation to calculate the fees F when the number of credits n is given.
b) Use the equation from part (a) to calculate the fee for 17 credits

  • math - ,

    Graph it if you don't understand my solution:

    Linear equations follow the format y=mx+b
    where m is the slope and b is the y-intercept.

    let y= fees and x=number of credits

    now calculate slope (change in y/change in x)
    m=(2600-2000)/(6-3)= 200

    y=200x+b

    Plug in any point to find b

    2000=200(3)+b

    b=1400

    so your equation is y=200x+1400

    :P

  • math - ,

    Looks like a straight line of slope (600/3) to me since fees increase 600 for every three credits.
    F = 200 C + b solve for b
    2000 = 200 (3) + b
    2000 = 600 + b
    b = 1400
    so
    Fee = 200 (Credits) + 1400

    check with (15 , 4400)
    4400 = (200)(15) + 1400 ?????
    4400 = 3000 + 1400 ???? YES, check

    Now do
    Fee = 200 (17) + 1400 for part b

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