Which statement illustrates the distributive property? A. 9(51 - 12) = 9(51) – 121
OB. 9(5i +121) = 9(121 + 51)
OC. 9(51 – 12) = 9(51) — 9(121)
OD
9 + (51 – 12i) = (9 +51) - (9 + 121)

Choice C

9(51-12) = 9(51) - 9(12)

Explanation:

The distributive property is

a(b+c) = a*b + a*c

which can also be written as

a(b-c) = a*b + a*(-c) = a*b - a*c

In this case we're using

a(b-c) = a*b - a*c

where a = 9, b = 51, c = 12

step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50