1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
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Answer:
Three equivalent ratios of 
are 
, 
and 
.
Step-by-step explanation:
We are given a fraction .
We need to find the three equivalent ratios/fractions of .
The common factor of 14 and 2 is 2.
So, dividing top and bottom by 2, we get
14÷2 = 7 and 2÷2 that is .
Multiplying fraction by a common number 3 in top and bottom, we get
7 × 3 = 21
1 × 3 = 6
So, we get another equivalent fraction 
.
Multiplying fraction by a common number 3 in top and bottom, we get
7 × 4 = 28
1 × 4 = 4
So, we get another equivalent fraction 
.
Therefore, three equivalent ratios of are , and .
