Question

For the diagram below, the table gives the total number of small triangles y in figure number x. What pattern can you use to complete the table? Represent the relationship using words, an equation, and a graph Figure 1 A Figure 2 Figure 3 Represent the relationship in words. Choose the correct answer below. A. The total number of small triangles y is twice two raised to the figure number x. OB. The total number of small triangles y is four times the square of the figure number x. OC. The total number of small triangles y is three times the figure number x. OD. The total number of small triangles y is three times the square of the figure number x. Figure Total Small Number, x Triangles, y 1 2 3 4 5 3 3 12 27 1 Ordered Pair (x,y (1,3) (2,12) (327)​

Answer 1

Answer: D

Explanation:

A.
`y=2 \cdot 2^x`, which fails for x=1.

B.
`y=4x^2`, which fails for x=1.

C.
`y=3x`, which fails for x=2.

D.
`y=3x^2`. which is correct for x=1, 2, 3.