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