Question

ill give 100 points


Identify the rule that could possibly describe this set of data.

A. y = 2x - 10
B. y = 10x
C. y = 10 + 2x
D. y = 10 – 2x

Answer 1

Answer:

D) $y = 10-2x$

Step-by-step explanation:

To identify the rule that could possibly describe the given set of data, let's examine the relationship between $x$ and $y$.

From the data, we can observe that as $x$ increases by 1, $y$ decreases by 2.

This indicates a linear relationship where $y$ decreases by 2 units for every increase of 1 unit in $x$.

So, we can express this relationship as:

$y = -2x + b$

where $b$ is the y-intercept.

To find $b$, we can use any of the given points. Let's use the point $(1, 8)$:

$8 = -2(1) + b$

$8 = -2 + b$

$b = 8 + 2 = 10$

Substitute the value in above relationship:

We get

$y = -2x+10$

$y = 10-2x$

Now that we have found $b$, the rule describing the data is:

D) $y = 10-2x$