Posted by **daisy** on Saturday, September 1, 2012 at 7:27pm.

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 -
**Anu**, Saturday, September 1, 2012 at 7:35pm
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 -
**Damon**, Saturday, September 1, 2012 at 7:39pm
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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