Question

How many proportional relationships are shown in the coordinate plane below?

Answer 1

Answer:

Answer: 1

Answer: 1Step-by-step explanation:

Answer: 1Step-by-step explanation:proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases an as x decreases, y decreases-and that the ratio between them always stays the same. It's basically a straight line that go through the origin which is where the purple circle is but the green is proportional relationships

Answer 2

There are 3 proportional relationships that are shown in the coordinate plane below.

What is the directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

$m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}$

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

$m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}$

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Proportional relationships are that relationship where the value of one variable increases or decreases by the same amount.

Hence, there are 3 proportional relationships that are shown in the coordinate plane below.

Learn more about Directly and Inversely proportional relationships:

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