Question

The table includes the cost of ordering different numbers of fence sections. Number of Sections (x) Cost in Dollars (y) 10 409 50 1,889 125 4,664 If the cost is a function depending on the number of sections, how much will 200 sections cost? $7,400 $7,439 $7,556 $7,837

Answer 1

its D on ingenuity.

7439

Explanation:

Answer 2

It will cost $7439.

We first find the rate of change between consecutive points. Between the first two,
m = (1889-409)/(50-10) = 1480/40 = 37

Between the second two points,
m = (4664-1889)/(125-50) = 2775/75 = 37

Since the rate of change is the same between points, this is a linear situation.

Writing the equation of the line in point-slope form, we have
y - 409 = 37(x - 10)

Using 200 as x,
y - 409 = 37(200 - 10)
y - 409 = 37(190)
y - 409 = 7030

Adding 409 to both sides,
y = 7030+409 = 7439