Proportional Relationships and Rate of Change

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

Is this graph proportional?

• Yes

• No

Is this graph proportional?

• Yes

• No

What are the two key factors to determine if the relationship is proportional?

• Graphs a straight line the begins at (0,0)

• Graphs a curvy line that begins at (0,0)

• Graphs a straight line that begins anywhere

• Graphs a curvy line that begins anywhere

Analyze the point (3, 27). What does the point represent? 

• The point (3,27) represents 27 shirts for $3. 

• The point (3,27) represents $27 for 3 shirts. 

What is the average rate of change between hour 15 and hour 30?

• $93.75/hr

• $6.25/hr

• $43.75/hr

• $6.75/hr

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.  What is the meaning of the slope of the equation?

• For $1.00, you can rent a kayak for 20 minutes.

• It costs $0.20 per minute to rent the kayak.

• You have to pay $0.20 up front before using the kayak at all.

• Every .2 minutes, you have to pay $1.00.