Posted by daisy on .
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
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
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)
Plug in any point to find b
so your equation is y=200x+1400
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
Fee = 200 (Credits) + 1400
check with (15 , 4400)
4400 = (200)(15) + 1400 ?????
4400 = 3000 + 1400 ???? YES, check
Fee = 200 (17) + 1400 for part b