Coordinate Pairs Additive and Multiplicative Patterns

Milas learned that a hummingbird can beat its wings up to 70 times per second. He made the table shown to determine the number of times a hummingbird would beat its wings over several seconds.

Which statement about the numerical pattern in the table is true?

• The table shows an additive pattern because the number of beats is 69 more than the number of seconds.

• The table shows an additive pattern because the number of beats is 70 more than the number of seconds.

• The table shows a multiplicative pattern because the number of beats is 69 times the number of seconds.

• The table shows a multiplicative pattern because the number of beats is 70 times the number of seconds.

Charlize sold T-shirts to earn extra money. The graph shows the number of T-shirts she sold and the amount of money she earned.

Which statement about the pattern shown in the graph is true?

• The graph represents an additive pattern because it shows x = y + 3.

• The graph represents an additive pattern because it shows y = x + 3.

• The graph represents a multiplicative pattern because it shows y = 3x.

• The graph represents a multiplicative pattern because it shows x = 3y.

What rule could you use to find Tori's savings after 10 weeks?

• Add 10 from one week to the next.

• Multiply the week by 2.

• Multiply Martin's savings by 4.

• Divide Martin's savings by 4.

Which statement about the pattern shown in the graph is true?

• The graph represents an additive pattern because it shows x = y + 3.

• The graph represents an additive pattern because it shows y = x + 3.

• The graph represents a multiplicative pattern because it shows y = 3x.

• The graph represents a multiplicative pattern because it shows x = 3y.

when a number is added to each x-value to find the y-value

• input

• origin

• multiplicative pattern

• additive pattern

when a number is multiplied by each x-value to find the y-value

• origin

• multiplicative pattern

• additive pattern

• input

Which points on the coordinate grid represent ordered pairs where the y-coordinate is 2 times the x-coordinate?

Select the TWO correct circles that represent the points.

The points plotted on the coordinate grid represent the rule y = x + 5.

Which type of pattern is represented by this rule? ​ (a)  

Whcih ordered pair is represented by this rule ​ (b)  

• Multiplicative

• Additive

• (8,3)

• (6,1)

• (3,8)

• (5,1)

The points plotted on the coordinate grid represent the rule y = x + 6. Complete the table to represent the relationship between the values of x and y. Move the corerect answer to each box in the table. Each answer may be used more than once. Not all answers will be used. ​

d

e

f

30

6

16

12

13

4

The points on the grid represent values for y = x + 3.

Which ordered pairs represent other points on the graph for this equation? Select TWO correct answers.

• (6,9)

• (4,1)

• (3,0)

• (2,6)

• (0,3)