Question

A tile pattern has 5 tiles in figure 0 and adds 7 tiles in each figure, write a linear equation that represents this pattern

Answer 1

The equation is:

y = 7x + 5

Explanation:

Given

Figure 0 = 5 tiles

Figure 1 = 5+7 = 12 tiles

Given that it adds 7 titles in each figure. Thus, the rate of change = 7 tiles

Thus, the equation is:

y = 7x + 5

Here

• 7 is the rate change or slope of the equation.

VERIFICATION:

setting x = 0 to determine the tiles in figure 0

y = 7x + 5

y = 7(0) + 5

y = 5

Thus, the figure 0 has 5 tiles

setting x = 1 to determine the tiles in figure 1

y = 7x + 5

y = 7(1) + 5

y = 7 + 5

y = 12

Thus, the figure 0 has 12 tiles (5 plus 7 added)