Question

Figure 3 of a tile pattern has 11 tiles, while figure 4 has 13 tiles The patter grows at a constant rate.

A write a equation to represent this situation
B which figure will contain 1015 tiles

Answer 1

y = 2x + 5

Figure 505

Explanation:

(3,11) ( 4,13)

Find the slope

Change in y over the change in x

`(13-11)/(4-3)` =
`(2)/(1)` = 2

slope (m) is 2.

Part A

Find the y -intercept

m = 2

x = 3 from the point (3,11)

y = 11 from the point (3,11)

y = mx + b Substitute what I know and solve for b

11 = (2)(3) + b

11 = 6 + b Subtract 6 from both sides

11 - 6 = 6 -6 + b

5 = b

The y intercept (b) is 5

y = mx + b

y = 2x + 5

Part B

y = 2x + 5

1015 = 2x + 5 Subtract 5 from both sides

1015 - 5 = 2x + 5 - 5

1010 = 2x Divide both sides by 2

505