Answer:
It will cost $7439.
Step-by-step explanation:
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
