Analyze Patterns and Graph Relationships

The table shows five ordered pairs. Which graph shows these ordered pairs?

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The first number in Pattern 1 is 6. The rule for the pattern is "multiply by 3." The first number in Pattern 2 is 25. The rule is "subtract 5." What are the first three numbers in each pattern?

• Pattern 1: 6, 18, 54

  Pattern 2: 25, 20, 15

• Pattern 1: 6, 9, 18

  Pattern 2: 25, 30, 35

• Pattern 1: 6, 18, 54

  Pattern 2: 25, 15, 5

• Pattern 1: 6, 18, 36

  Pattern 2: 25, 20, 15

Lucy created the table. Which best describes the patterns of x- and y-values shown in the table?

• The x-values increase following the rule "multiply by 4," while the y-values increase following the rule "multiply by 2.

• The x-values increase following the rule "multiply by 4," while the y-values are twice the x-values.

• The x-values increase following the rule "multiply by 2," while the y-values increase following the same rule.

• The x-values increase following the rule "multiply by 2," while the y-values are twice the x-values.

This graph shows how the temperature changed during an all-day hike by students in the Terrapin Middle School science club. When was the temperature falling most rapidly?

• Between 3.5 and 4.0 hours

• Between 0 and 1.0 hours

• Between 5.0 and 5.5 hours

• Between 2.0 and 1.5 hours

What is the independent variable on this graph?

• Time of Day

• Cans of Juice

• Vending Machines

• 20, 40, 60, etc.

What is the dependent variable on this graph?

• Time of Day

• Cans Sold

• Vending Machines

• Count by 20s

Suppose a motion detector tracks the time and the distance traveled as you walk 40 feet in 8 seconds.  
Which graph shows you walking slowly at first, and then steadily increasing your walking speed?

• Graph 5

• Graph 2

• Graph 3

• Graph 4

These graphs show 5 patterns for the daily sales of a new video games as time passed after its release (time,sales).
Which graph shows:  The daily sales declined at a steady rate.

• Graph 1

• Graph 2

• Graph 3

• Graph 4 or 5

These graphs show 5 patterns for the daily sales of a new video games as time passed after its release (time,sales).
Which graph shows:  The daily sales did not change.

• Graph 2

• Graph 3

• Graph 4

• Graph 5

These graphs show 5 patterns for the daily sales of a new video games as time passed after its release (time,sales).
Which graph shows:  The daily sales rose rapidly, then leveled off, and then declined rapidly.

• Graph 1

• Graph 2 and 3

• Graph 4

• Graph 5