Question

PLEASE ANSWER ASSAP!!! IF CORRECT WILL GIVE BRAINLY!!!!! Which one of these relationships is different than the other three? Explain how you know.

Answer 1

Answer:

The relationship B is different than the other three, because it has a different proportionality constant.

Step-by-step explanation:

All available options show direct relationships, which are defined as follows:

$y\propto x$

$y=k\cdot x$ (1)

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$k$ - Proportionality constant, dimensionless.

We proceed to use the following strategy based on the proportionality constant, that is:

$k = \frac{y}{x}$

A different relationship must indicate a different proportionality constant:

Option A ($x = 0.8$, $y = 4$)

$k = \frac{4}{0.8}$

$k = 5$

Option B ($x = 10$, $y = 55$)

$k = \frac{55}{10}$

$k = 5.5$

Option C ($x = 4$, $y = 20$)

$k = \frac{20}{4}$

$k = 5$

Option D ($x = 10$, $y = 50$)

$k = \frac{50}{10}$

$k = 5$

The relationship B is different than the other three, because it has a different proportionality constant.