Proportional Relationships

c = 6p

c = cost

p = pounds

What is the constant of proportionality in the relationship c = 6p?

A new plant starts at 2cm high. It grows at a steady rate of 0.5 cm per week. Is this a proportional relationship?

Attributes of the relationship: "A new plant starts at 2cm high. It grows at a steady rate of 0.5 cm per week." Which attribute does it NOT have?

$$d=\frac{2}{3}t$$ (t = \text{time in seconds}, d = \text{distance in meters})

Distance traveled in 1 minute if $$d=\frac{2}{3}t$$ , where t = time (seconds) and d = distance in meters.

Proportional or not?

What is the constant of proportionality in this relationship?

Proportional or not?

Attributes of proportional relationships NOT present in the table:

• As x increases by 30 minutes, y always increases by the same amount.
• Equation has form: $$y=kx$$
• For each input week (x) there is an output height (y).
• Will make a line if graphed.