Answer:
option (B) is correct.
The binomial expression 2w + 6 represents the length of the fish tank.
Step-by-step explanation:
Dylan has a fish tank which is in the shape of a cuboid In this way, the volume of the tank is given by this expression:
[tex]V = w\times h \times l[/tex]
Where: h is the height of tank
w is the width of tank and
l is the length of the tank.
Given : height of tank , h, is one inch less than twice the width, w.
Mathematically, [tex]h=2w-1[/tex]
also, The length of the tank l is seven inches longer than the height.
Mathematically, [tex]7+h \Rightarrow 7+(2w-1)=2w+6[/tex]
Thus, volume of tank is [tex]V = w\times h \times l[/tex]
[tex]V=w(2w-1)(2w+6)[/tex]
[tex]V=w(4w^2-2w+12w-6)[/tex]
[tex]V=4w^3+10w^2-6w[/tex]
Thus, the volume of tank is [tex]4w^3+10w^2-6w[/tex]
Hence, from the given option only option (B) is correct.
The binomial expression 2w + 6 represents the length of the fish tank.
