Question

Use the image to answer the question.
Five different configurations of tiles are labeled 0 through 4.

The configuration labeled 0 contains 0 tiles. The configuration labeled 1 is L-shaped, with one tile in row 1 and two tiles in row 2. The configuration labeled 2 is right triangle-shaped, with one tile in row 1, two tiles in row 2, and three tiles in row 3. The configuration labeled 3 resembles a bisected right angle, with one tile in row 1, two tiles in row 2, two tiles in row 3, and four tiles in row 4. The configuration labeled 4 resembles a bisected right angle, with one tile in row 1, two tiles in row 2, two tiles in row 3, two tiles in row 4, and five tiles in row 5

Image Long Description The configuration labeled 0 contains 0 tiles. The configuration labeled 1 is L-shaped, with one tile in row 1 and two tiles in row 2. The configuration labeled 2 is right triangle-shaped, with one tile in row 1, two tiles in row 2, and three tiles in row 3. The configuration labeled 3 resembles a bisected right angle, with one tile in row 1, two tiles in row 2, two tiles in row 3, and four tiles in row 4. The configuration labeled 4 resembles a bisected right angle, with one tile in row 1, two tiles in row 2, two tiles in row 3, two tiles in row 4, and five tiles in row 5

Analyze the tile pattern and write a function for the pattern. Use x for the image number and y for the number of tiles in each image.

(2 points)
The function modeled by the pattern is y= [?] , since the slope is [?] and the y-intercept is [?] .

Answer 1

y = 3x, since the slope is 3 (y increases by 3 for each increase of 1 in x) and the y-intercept is 0.