Month Value
1 16000
3 31000
4 42000
7 110000
8 180000
9 225000

Over a 9-month period an account increased in value as shown in the table, with values in dollars. Find a quadratic curve of best fit for this data.

A) y = 14700 + 6700x - 8800x2
B) y = 18900 + 12100x - 500x2
C) y = 22300 + 28200x + 1400x2
D) y = 29600 - 13300x + 3880x2

college

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140