Question

consider the table of values.X.-2,-1,0,1,2,3,4,Y.0,2,6,12,20,30,42Select the statement that is true about the table. OA. The relationship between the variables in the table is linear because the first differences are constant OB. The relationship between the variables in the table is quadratic because the second differences are constant. Oc. The relationship between the variables in the table is quadratic because the first differences are constant. OD. The relationship between the variables in the table is linear because the second differences are constant.

Answer 1

the given table is,

X.-2,-1,0,1,2,3,4,

Y.0,2,6,12,20,30,42

the first difference in y values are,

2 - 0 = 2

6 - 2 = 4

12 - 6 = 6

20 - 12 = 8

the second difference in y values are,

4 - 2 = 2

6 - 4 = 2

8 - 6 = 2

as the second difference is constant of the table,

thus, The relationship between the variables in the table is quadratic because the second differences are constant.

that is option B