Which quadratic function best fits this data? x y 1 32 2 78 3 178 4 326 5 390 6 337 a) y=11.41x2+154.42x−143.9 b) y=−11.41x2+154.42x−143.9 c)y=11.41x2+154.42x+143.9 d)y=−11.41x2+154.42x+143.9

B.

Step-by-step explanation:

The table for the data is given by,

x                           y  

1                          32  

2                         78  

3                         178  

4                         326  

5                         390  

6                         337

Using the regression calculator, we see that,

The quadratic equation representing the data is .

So, option B is correct.

17,000 is the correct answer.

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns