Question

7. Which of these polynomial functions gives the number of lights in a hexagonal rig (six sides) with n rows? (Hint: Look for a pattern in the coefficients of the polynomial functions for the triangular, square, and pentagonal lighting rigs.)
A. H(n) = 2n^2 - n
B. H(n) = 2n^2 - 1
C. H(n) = ½n^2 + n + 1
D. H(n) = ½n^2 + n

8. H(n) ÷ S(n) will give the ratio between the number of lights in a hexagonal rig and a square rig. After doing the division, determine which one of these statements is true.

A. As the number of rows increases, the hexagonal rig gets closer to having three times as many lights as the square rig.
B. As the number of rows decreases, the hexagonal rig gets closer to having twice as many lights as the square rig.
C. As the number of rows decreases the hexagonal rig gets closer to having three as many lights as the square rig.
D. As the number of rows increases, the hexagonal rig gets closer to having twice as many lights as the square rig.

Answer 1

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Below are the answers:

7. C. H(n) = ½n^2 + n + 1
8. D. As the number of rows increases, the hexagonal rig gets closer to having twice as many lights as the square rig.