Question

If the cost is a function depending in the number of sections, how much will 200 sections cost?

A. 7,400
B. 7,439
C. 7,556
D. 7,837

Answer 1

I would say the answer is D. 7837. Since the common ratio between the x’s and y’s were are 39.5 so multiplying that times 200 gives something around 7900 so, (rounding down) the answer would be D. I really hope that helped! Also please correct me if I am wrong... thanks!

Answer 2

Answer: So here we have a function F(x) = y. and you give some of the points (x,y).

this are (10, 409) , (50, 1889) , (125, 4664)

then, if we assume a linear relationship, we could find the slope using the next formula:
`s = (y2 - y1)/(x2 - x1)`

then for the first two points we get:
`s = (1889 - 409)/(50 - 10)  = 37`

and the slope between the second and third point is:

`s = (4664 - 1889)/(125 -50)= 37`

So we have the same slope in the two segments, and it's safe to assume that our function is linear. Now we need to find the x-intercept

then F(x) = 37x + b

and F(10) = 370 + b = 409

b = 409 - 370 = 39

So our function is F(x) = 37*x + 39

then if x = 200, F(200) = 37*200 + 39 = 7439.

So the correct answer is B.