Question

The volume in cubic inches is modeled by v = 2x³ - 19x + 39x². What is the volume when x = 4?

a) 288 cubic inches
b) 320 cubic inches
c) 264 cubic inches
d) 304 cubic inches

Answer 1

The volume when x = 4 is 676 cubic inches.

Step-by-step explanation:

To find the volume when x = 4, we substitute x = 4 into the equation v = 2x³ - 19x + 39x².

Substituting x = 4:

v = 2(4)³ - 19(4) + 39(4)²

v = 2(64) - 76 + 39(16)

v = 128 - 76 + 624

v = 676 cubic inches

Therefore, the volume when x = 4 is 676 cubic inches.