Constant Rate of Change and Proportionality

A proportion is...

• Is a comparison of two quantities with a common denominator/unit.

• a ratio that compares two quantities of different units.

• a rate when the second quantity in the comparison ( aka the denominator ) is a unit of one.

• two ratios set equal to one another.

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

What is the constant rate of change between the quantities in the table?

• -20 gal per minute

• -2 gal per minue

• 2 gal per minute

• 20 gal per minute

Determine the Constant Rate of Change?

• -10 ft per second

• 15 ft per second

• 10 ft per second 

• -15 ft per second

• Proportional, Linear, Negative
• Non-Pro, Linear, Negative
• Proportional, Linear, Positive
• Non-Pro, Linear, Positive

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. 

The temperature at noon was 88°F. By 4 P.M., the temperature was 72°F. Find the constant rate of change of the temperature.

• decresed by 4 degrees per hour

• increased by 4 degrees per hour

• decreased by 1.5 degrees per hour

• increased by 8 degrees per hour

What makes a graph proportional?

• Straight line

• The line goes through the origin

• Curvy line

• Straight line and the line goes through the origin