4.1 Graphing Relationships

4.1 Graphing Relationships

Learning Goals

• I can match simple graphs with situations.

• I can graph a relationship.

Vocab

• Continuous Graph: graphs that are connected lines or curves

• Discrete Graph: distinct separate points

Multiple Choice

What kind of graph is made up of distinct and unconnected points?

• Continuous
• Discrete

Example 1

The air temperature was constant for several hours at the beginning of the day and then rose steadily for several hours.  It stayed the same temperature for most of the day before dropping sharply at sundown.  Choose the graph that best represents this situation.

Multiple Choice

The temperature of the water in a glass cooled

down steadily with the addition of ice, then

remained constant when all the ice had melted.

Which graph best represents the situation?

• A

• B

• C

Example 2A

Sketch a graph for each situation. Tell whether the graph is continuous or discrete.

Simon is selling candles to raise money for the school dance. For each candle he sells, the school will get $2.50. He has 10 candles that he can sell.

Example 2B

Sketch a graph for each situation. Tell whether the graph is continuous or discrete.

Angelique’s heart rate is being monitored while she exercises on a treadmill. While walking, her heart rate remains the same. As she increases her pace, her heart rate rises at a steady rate. When she begins to run, her heart rate increases more rapidly and then remains high while she runs. As she decreases her pace, her heart rate slows down and returns to her normal rate.

Open Ended

Write a possible situation for the given graph.