Ch 7: Constant of Proportionality 2023
The graphs of all proportional relationships start at?
(0,0)
COP stand for?
Constant of Proportionality
What is the COP in the following equation: y = x
Equation COP = 1
What is the COP in the following equation: y = 1/2x
Equation COP = 1/2
What is the COP in the following equation: y = 1/3x
Equation COP = 1/3
What is the COP in the following equation: y = 1/4x
Equation COP = 1/4
What is the COP in the following equation: y = 4x
Equation COP = 4
Variable/ Letter that represents the COP.
K
What is the COP of the following ratios? 12/18, 10/15, and 4/6
Ratios COP = 2/3
What is the COP of the following ratios? 6/16, 9/24, and 15/40
Ratios COP = 3/8
What is the COP of the following ratios? 8/10, 20/25, and 12/15
Ratios COP = 4/5
If a group of ratios are proportional, how can you show that they are indeed proportional?
Show that all of the ratios reduce to the same ratio in lowest/simplest terms (COP).
Graphs of proportional relationships form a?
Straight line
Unit rate/price is equivalent to?
The COP.
What is the COP of the following ratios? 2/4, 10/20, and 8/18
There is no COP because they all do not reduce to the same ratio.
The graphs of all proportional relationships go _____ from left to right.
up
On a graph of a proportional relationship, the COP is the y value when x = ?
x = 1
If the COP is 10, the equation that represents the proportional relationship is?
y = 10x
If the COP is 12, the equation that represents the proportional relationship is?
y = 12x
If the COP is 2, the equation that represents the proportional relationship is?
y = 2x
If the COP is 7, the equation that represents the proportional relationship is?
y = 7x
If the COP is 8, the equation that represents the proportional relationship is?
y = 8x
Proportional relationships are equivalent to x/y or y/x?
y/x