Patterns and Graphing

Lyle 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.

The ordered pairs for the points on the coordinate plane satisfy the equation y = 5x.

Which table shows other points that satisfy the equation y = 5x?

• 
• 
• 
• 

Trevor and Laura are playing a game called “Guess the Rule.” Laura says a number and Trevor names a new number that is created using the rule he made. Trevor’s rule is to add 23 to Laura’s number. Which table shows the pattern using Trevor’s rule?

• 
• 
• 
• 

Which input-output table and graph represent the numerical pattern y = x + 2.5?

• 
• 
• 
• 

There was snow Monday and Tuesday. Greyson measured the total amount of snow for the day each hour. Then he made a chart showing his data for each day and graphed it. If the pattern continues, what ordered pair should be used to graph the amount of snow that fell Tuesday by the 5th hour?

• (2.5, 5)

• (5, 2)

• (5, 2.5)

• (5, 3)

• Graph P
• Graph Q
• Graph R
• Graph S

The points on the graph represent a numerical pattern. Which statement about the pattern represented on the graph is true?

• It is a multiplicative pattern because each y-coordinate has a higher value than the corresponding x-coordinate.

• It is a multiplicative pattern because each x-coordinate is multiplied by 5 to create the corresponding y-coordinate.

• It is an additive pattern because each y-coordinate has a higher value than the corresponding x-coordinate.

• It is an additive pattern because each x-coordinate is increased by 4 to create the corresponding y-coordinate.

Complete the table and match the corresponding graph.

• 
• 
• 
• 

There was snow Monday and Tuesday. Greyson measured the total amount of snow for the day each hour. Then he made a chart showing his data for each day and graphed it. If the pattern continues, what ordered pair should be used to graph the amount of snow that fell Tuesday by the 5th hour?

• (2.5, 5)

• (5, 2)

• (5, 2.5)

• (5, 3)

What is the pattern for this table?