We are given the following data
x y
1 4.5
2 6.75
3 10.125
4 15.1875
To get the multiplicative rate of change, we pick out two pairs of data so,
MROC = 6.75/4.5 / (2 - 1)
MROC = 1.5
The answer is 1.5
It is often more convenient to evaluate a polynomial when it is written is "Horner form."
... f(x) = (((10x -4)x -8)x +3)x -6
The graphs offered can be distinguished by their values of f(1) and f(2), so our table can be a short one.
... f(1) = (((10·1 -4)1 -8)1 +3)1 -6 = -5 . . . . . . . eliminates graph d
... f(2) = (((10·2 -4)2 -8)2 +3)2 -6 = 96 . . . . eliminates graphs a and c
The appropriate choice is b.
Least to greatest is mB,mD,mC
40x = 1500
x = 37.5
37.5% i believe