What is the dependent variable and what is the independent variable?

Mathematics

1 answer:

nlexa [21]3 years ago

7 0

<span>If an equation shows a relationship between x and y in which the value of y is dependent upon the value of x, y is known as the dependent variable and is sometimes referred to as 'function(x)' or f(x). The final solution of the equation, y, depends on the value of x, the independent variable which can be changed.</span>

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Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x) = 3 4x + 3 4

densk [106]

Answer: OPTION B

Step-by-step explanation:

The equation of a line that passes through the origin is the following:

$y=mx$

Where "m" is the slope of the line.

By definition, Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.

Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.

Then, this is:

$f(x)=\frac{3}{4}x$