Please help. I don't understand this. 50PTS Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?

48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch

48 square inches per inch

Step-by-step explanation:

The difference quotient is the average rate of change:

m = ΔA / Δe

m = (A(e+h) − A(e)) / h

m = 12e + 6h

In this case, e = 3 and h = Δe = 5−3 = 2.

m = 12(3) + 6(2)

m = 36 + 12

m = 48

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

answer: a and b

step-by-step explanation: