Question

A series of tile patterns is shown below. Consider the function that represents the number of white

tiles in each figure.
Figure 1
Figure 2
Figure 3
Figure 4
Select all statements that are true.

Answer 1

4

Explanation:

first you add them and then you subtract and you will get your answer

Answer 2

The statements that are true considering the functions are provided as follows;

1. W(n) = 4n+4 represents the function
2. Input values for the function are natural numbers
3. Figure 8 will have 36 white tiles.

What are the true statements?

The function that expresses the number of white tiles can be written as a function of the figure number. When these are expressed as ordered pairs, the results are;

(1, 8), (2, 12), (3, 16), (4, 20)

The first differences of the figures are all equal, therefore we can conclude that this is a linear situation. Next, we find the slope;

m = (12 - 8) / (2 - 1)

= 4/1

= 4

The point-slope form gives

y-8 = 4(x-1)

y - 8 = 4x - 4

y = 4x + 4

Substituting the value gives

y = 4*8 + 4

= 32 + 4

= 36.