# math

posted by .

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

: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

## Similar Questions

1. ### math

Write an equation to calculate the fees F when the number of credits n is given?
2. ### Algebra

Okay, so I am stuck on solving this using the substitution method. The mortgage department of the company is selling two model homes that are located on the same block. The square footage, as well as the type of model, determines the …
3. ### math

The relationship described below can be modeled using an equation. Identify the variables and write an equation to solve the questions below. Number of subscriptions sold/ pay per wk 5 150 10 200 15 250 20 300 25 350 Sheryl has a part-time …
4. ### math

Please help me? y=log(x+1) a. Write the equation as an exponential equation and solve for x. b. Switch the variables in your answer to part a (Change x to y and vice versa). Write the new expression.
5. ### math

Write an expression from the model below and then simplify the expression. Positive Negative Which equation is modeled on the number line below?
6. ### Algebra 1 (Ms. Sue)

1). Solve each equation. 17 = w - 4 2/3s = -6 1/3y + 1/4 = 5/12 x/8 - 1/2 = 6 5/6x - 1/3 = 5/2 2). In 1668, the Hope diamond was reduced from its original weight by about 45 carats, resulting in a diamond weighing about 67 carats. …
7. ### Math

An annual pass covering entrance fees to more than 2000 national parks cost \$80. If the total income from the annual passes is \$12,800 in one month. Write the equation and solve it. For my equation I put 12800p=80
8. ### Math

Write an equation to represent the relationship " a number decreased by 7 is the same thing as 28" and then solve the equation
9. ### Algebra

Use the given information to write an equation. let x represent the number described in the exercise. The difference between two-fifths of a number and 5 is seven-fifths of that number. write the equation and solve.
10. ### Algebra

write the equation of the line in slope-intercept form given the slope and the coordinates of the y-intercept m = 3/7;(0, 8/3) find an equation of the line described below. write the equation in slope-intercept form (solved for y) …

More Similar Questions