Figure 2 of a tile pattern has 8 tiles, while figure 5 has 14 tiles. If the tile pattern grows at a constant rate, how many tiles will figure 40 have?

84 tiles

Step-by-step explanation:

Given that :

Figure 2 = 8 tiles

Figure 5 = 14 tiles

Growth rate :

(Figure 5 - figure 2)x= 14 - 8

3x = 6

x = 6/3

x = 2

(Figure 40 - figure 2) = 38 * x

Initial number of tiles + 38x

8 + 38(2)

8 + 76

= 84

Figure 40 = 84 tiles

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following