SOLUTION: Number of Credits / Fees 3 / 2000 6 / 2600 9 / 3200 12 / 3800 15 / 4400 (a) Wr

Question 204378: 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 this equation from part (a) to calculate the fee for 17 credits.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
You can see that for every increase of 3 credits the fees increases by 600.
So the function is linear.
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Use any two points to find the linear equation:
slope = (2600-2000)/(6-3) = 600/3 = 200
Form y = mx + b
2000 = 200*3 + b
b = 1400
Equation: fee(x) = 200x + 1400 where x is the number of credits
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(b) Use this equation from part (a) to calculate the fee for 17 credits.
fee(17) = 200*17+1400 = $4800
===============================
Cheers,
Stan H.
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