Question

The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality? Use pencil and paper. Explain why your answer is called the​ "constant of​ proportionality."
y=4.53x

The constant of proportionality is [ ]

Answer 1

There is a constant increase of 4.53 in values of y for every value of x.  Therefore, it is also called constant of proportionality.Graph is attached below for verification.

Step-by-step explanation:

The given equation is y = 4.53x,

From  equation, we can see a linear/constant relationship between the values of x and y.  This equation shows that the value of y is always 4.53 times the value of x.

For example,

x = 0

y = 4.53(0)

y = 0

So, point would be (0,0)

x = 1

y = 4.53(1)

y = 4..53

So, point would be (1, 4.53)

x = 2

y = 4.53(2)

y = 9.06

So, point would be (1, 9.06)

x = 3

y = 4.53(3)

y = 13.59

So, point would be (3, 13.59)

x = -1

y = 4.53(-1)

y = -4.53

So, point would be (-1,-4.53)

x = -3

y = 4.53(-3)

y = -13.59

So, point would be (-3,-13.59)

So, there is a constant increase of 4.53 in values of y for every value of x.  Therefore, it is also called constant of proportionality. By matching these points, a linear graph can easily be drawn to verify answers. I have also attached the graph pic below.

Keywords: function, graph

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